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* from \"-!../../../../node_modules/mini-css-extract-plugin/dist/loader.js??ref--8-oneOf-1-0!../../../../node_modules/css-loader/index.js??ref--8-oneOf-1-1!../../../../node_modules/vue-loader/lib/loaders/stylePostLoader.js!../../../../node_modules/postcss-loader/src/index.js??ref--8-oneOf-1-2!../../../../node_modules/sass-loader/dist/cjs.js??ref--8-oneOf-1-3!../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=style&index=0&id=6604f800&prod&lang=scss&\"","var render = function render(){var _vm=this,_c=_vm._self._c;return _c('div',[_c('h3',{ref:\"ia\"},[_vm._v(\"\\n    Triangle Sum Theorem\\n  \")]),_vm._m(0),_c('br'),_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('v-img',{attrs:{\"src\":\"/assets/triangle_sum.png\",\"max-height\":\"450px\",\"max-width\":\"450px\",\"contain\":\"\"}})],1),_c('h3',{ref:\"playgraph1\"},[_vm._v(\"\\n    MagicGraph 1. | Three angles of a triangle form a 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The vertices O, A, and B of the triangle can be dragged and moved around to\\n    change the type (i.e., acute, obtuse or right) and size of the triangle.\\n    You will be able to see that the three interior angles α, β and γ change as the vertices O, A and B are dragged around.\\n  \")]),_c('h5',[_vm._v(\" To Explore:\")]),_vm._m(3),_c('v-responsive',[_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('div',{staticClass:\"edliy-box-about\",attrs:{\"id\":\"jxgbox1\"}})])],1)],1)\n}\nvar staticRenderFns = [function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n    Triangle sum theorem states that the three interior angles of a triangle always add to 180\"),_c('sup',[_vm._v(\"o\")]),_vm._v(\".\\n    In other words, if you cut out the three\\n    angles of a triangle and place them adjacent to each other, they form a straight angle.\\n    Consider a triangle formed by three points O, A and B — as shown in the figure below.\\n    The three angles of the triangle are α, β, and γ. Then, according to\\n    triangle sum theorem —\\n    $$\\\\alpha + \\\\beta + \\\\gamma = 180^o$$\\n    This theorem is not a special case but is a fundamental property of triangles, i.e., this is true for all triangles.\\n  \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n    This MagicGraph offers a geometric approach to understand why the sum of three angles of a triangle is always 180\"),_c('sup',[_vm._v(\"o\")]),_vm._v(\".\\n  \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n    This MagicGraph offers a direct approach to verify that the sum of three angles of a triangle is always 180\"),_c('sup',[_vm._v(\"o\")]),_vm._v(\".\\n  \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',[_vm._v(\"\\n    Drag points O, A and B of the triangle to change the type (i.e., acute, obtuse or right) and size of the triangle OAB.\\n    Then, tap on the two scissors to cut out the angles α and β.\\n    No matter what type or size of the triangle you choose, the three interior\\n    angles α, β and γ always add to 180\"),_c('sup',[_vm._v(\"o\")]),_vm._v(\".\\n  \")])\n}]\n\nexport { render, staticRenderFns }","const Boxes = {\r\n  box1: function () {\r\n    var brd1 = JXG.JSXGraph.initBoard('jxgbox1',{boundingbox: [-6, 10, 6, -2],\r\n        keepaspectratio: true, axis:false, ticks:{visible:false},\r\n        grid:true, showCopyright:false, showNavigation:false,\r\n        pan:{enabled:false}, zoom:{enabled:false}});\r\n        brd1.suspendUpdate();\r\n        //title\r\n        var resize1 = function () {\r\n        brd1.resizeContainer(brd1.containerObj.clientWidth, brd1.containerObj.clientHeight, true);\r\n        brd1.fullUpdate();\r\n        };\r\n        window.addEventListener(\"resize\", resize1);\r\n      //\r\n    brd1.create('text', [0, 9., 'Sum of the Interior Angles of a Triangle'],{display:'internal', anchorX:'middle', anchorY:'bottom',CssStyle:'fontFamily:Oswald;fontWeight:bold',fontSize:function(){return Math.round(32*brd1.canvasWidth/800.)}, fixed:true, highlight:false});\r\n    var i=0; var j=0;\r\n    var Pt1 = brd1.create('point', [0,0],{name:'O (Drag me!)', size:3, fillColor:'white', strokeColor:'black', snapToGrid:false, label: {offset:[0, -15], fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n    var Pt2 = brd1.create('point', [2,3],{name:'A (Drag me!)', size:3, fillColor:'white',strokeColor:'black', snapToGrid:false,label: {offset:[0, 15],fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n    var Pt3 = brd1.create('point', [-2,2],{name:'B (Drag me!)', size:3,fillColor:'white',  strokeColor:'black', snapToGrid:false,label: {offset:[0, 15],fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n    brd1.create('segment', [Pt1, Pt2], {strokeColor:'blue', strokeWidth:1, fixed:true});\r\n    brd1.create('segment', [Pt1, Pt3], {strokeColor:'blue', strokeWidth:1, fixed:true});\r\n    brd1.create('polygon', [Pt1, Pt2, Pt3],{fixed:true, strokeWidth:2, fillColor:'white', fillOpacity:1, highlight:false, borders:{fixed:true, strokeColor:'blue'},visible:function(){if(i+j<2){return true}else{return false}}});\r\n\tbrd1.create('angle', [Pt3, Pt2, Pt1],{radius:1, strokeColor:'blue', fillColor:'blue', visible:function(){if(i==0){return true}else{return false}}, label:{color:'blue', fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n    var ang1 = brd1.create('angle', [Pt3, Pt2, Pt1],{radius:1, strokeColor:'blue', fillColor:'blue', visible:function(){if(i==0){return false}else{return false}}, label:{color:'blue', fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n    var ang2 = brd1.create('angle', [Pt2, Pt1, Pt3],{radius:1, strokeColor:'red', fillColor:'red', label: {color:'red', fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n    var ang3 = brd1.create('angle', [Pt1, Pt3, Pt2],{radius:1, strokeColor:'green', fillColor:'green',visible:function(){if(j==0){return true}else{return false}}, label: {color:'green',fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n    var ang = brd1.create('angle', [[50, 0], Pt1, Pt2],{radius:1, strokeColor:'green', fillColor:'green',visible:false});\r\n    //\r\n    //var sci1 =brd1.create('image', ['/assets/scissors.svg',[function(){return Pt2.X()-Math.cos(ang.Value())-0.25;}, function(){return Pt2.Y()-Math.sin(ang.Value())-0.25;}], [0.5,0.5]],{visible:function(){if(i<1){return true}else{return false}}});\r\n    //var sci2= brd1.create('image', ['/assets/scissors.svg',[function(){return Pt3.X()-Math.cos(ang.Value()+ang2.Value())-0.25;}, function(){return Pt3.Y()-Math.sin(ang.Value()+ang2.Value())-0.25;}], [0.5,0.5]],{visible:function(){if(j<1){return true}else{return false}}});\r\n    //var sci3= brd1.create('image', ['/assets/scissors.svg',[function(){return Pt1.X()+Math.cos(ang.Value())-0.25;}, function(){return Pt1.Y()+ Math.sin(ang.Value())-0.25}], [0.5,0.5]],{visible:function(){if(j<1){return true}else{return false}}});\r\n    var trot = brd1.create('transform', [function(){return -ang1.Value();}, Pt1], {type:'rotate'});\r\n    var Pt4 = brd1.create('point', [Pt2, trot],{name:'', size:0,visible:function(){if(i==1){return true}else{return false}}});\r\n    brd1.create('angle', [Pt4, Pt1, Pt2],{name:'&alpha;', fillColor:'blue', strokeColor:'blue', radius:1,visible:function(){if(i==1){return true}else{return false}},label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n    var trot2 = brd1.create('transform', [function(){return ang3.Value();}, Pt1], {type:'rotate'});\r\n    var Pt5 = brd1.create('point', [Pt3, trot2],{name:'', size:0, visible:function(){if(j==1){return true}else{return false}}});\r\n    //sci1.on('down', function(){return i= i+1;});\r\n    //sci2.on('down', function(){return j=j+1;});\r\n    Pt3.on('down', function(){i=0; j=0; return;});\r\n    Pt2.on('down', function(){i=0; j=0;  return;});\r\n    Pt1.on('down', function(){i=0; j=0;  return;});\r\n    //brd1.create('angle', [Pt3, Pt1, Pt5],{name:'&gamma;', fillColor:'green', strokeColor:'green', radius:1,visible:function(){if(j==1){return true}else{return false}},label: {color:'green', fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n    //brd1.create('segment', [Pt1, Pt4],{strokeWidth:1, strokeColor:'blue',visible:function(){if(i==1){return true}else{return false}}});\r\n    ///brd1.create('segment', [Pt1, Pt5],{strokeWidth:1, strokeColor:'blue',visible:function(){if(j==1){return true}else{return false}}});\r\n    brd1.create('text', [-2, 8.5, function(){return '&alpha;= '+ (ang1.Value()*180/Math.PI).toFixed(2) + '^o'}],{anchorX:'middle', highlight:false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd1.canvasWidth/500.)}, fixed:true, highlight:false});\r\n    brd1.create('text', [0, 8.5, function(){return '&beta;= '+ (ang2.Value()*180/Math.PI).toFixed(2)+ '^o'}],{anchorX:'middle', highlight:false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd1.canvasWidth/500.)}, fixed:true});\r\n    brd1.create('text', [2, 8.5, function(){return '&gamma;= '+ (ang3.Value()*180/Math.PI).toFixed(2) + '^o'}],{anchorX:'middle', highlight:false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd1.canvasWidth/500.)},fixed:true});\r\n    brd1.create('text', [0, 7.5, function(){return '&alpha; + &beta; + &gamma; = '+ (ang1.Value()*180/Math.PI).toFixed(2) +'^o + ' + (ang2.Value()*180/Math.PI).toFixed(2)+'^o + '+(ang3.Value()*180/Math.PI).toFixed(2) + '^o' + ' = 180^o' }],{anchorX:'middle', highlight:false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd1.canvasWidth/500.)},fixed:true});\r\n    brd1.unsuspendUpdate();\r\n    },\r\nbox2: function () {\r\n  var brd2 = JXG.JSXGraph.initBoard('jxgbox2',{boundingbox: [-6, 10, 6, -2],\r\n      keepaspectratio: true, axis:false, ticks:{visible:false},\r\n      grid:true, showCopyright:false, showNavigation:false,\r\n      pan:{enabled:false}, zoom:{enabled:false}});\r\n      //title\r\n      brd2.suspendUpdate();\r\n      var resize2 = function () {\r\n      brd2.resizeContainer(brd2.containerObj.clientWidth, brd2.containerObj.clientHeight, true);\r\n      brd2.fullUpdate();\r\n      };\r\n      window.addEventListener(\"resize\", resize2);\r\n      brd2.options.layer['image'] = 16;\r\n    //\r\n  //brd2.create('text', [-6, 7., '<b> Sum of the Interior angles of a Triangle <b>'],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(24*brd2.canvasWidth/500.)}, fixed:true});\r\n  brd2.create('text', [0, 9., 'Sum of the Interior Angles of a Triangle'],{display:'internal', anchorX:'middle', anchorY:'bottom',CssStyle:'fontFamily:Oswald;fontWeight:bold',fontSize:function(){return Math.round(32*brd2.canvasWidth/800.)}, fixed:true, highlight:false});\r\n\r\n  var i=0; var j=0;\r\n  var Pts1 = brd2.create('point', [0,0],{name:'O (Drag me!)', highlight:false, size:3, fillColor:'white', strokeColor:'black', snaPtsoGrid:true, label: {offset:[0, -20], fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n  var Pts2 = brd2.create('point', [2,3],{name:'A (Drag me!)', size:3, fillColor:'white',strokeColor:'black', snaPtsoGrid:true,label: {offset:[0, 20], fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n  var Pts3 = brd2.create('point', [-2,2],{name:'B (Drag me!)', size:3, fillColor:'white', strokeColor:'black', snaPtsoGrid:true,label: {offset:[0, 20], fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n  brd2.create('segment', [Pts1, Pts2], {strokeColor:'black', strokeWidth:1, fixed:true, dash:()=>i.valueOf(), highlight:false});\r\n  brd2.create('segment', [Pts1, Pts3], {strokeColor:'black', strokeWidth:1, fixed:true, dash:()=>j.valueOf(), highlight:false});\r\n  brd2.create('segment', [Pts2, Pts3], {strokeColor:'black', strokeWidth:1, fixed:true, dash:()=>j.valueOf(), highlight:false});\r\n  brd2.create('polygon', [Pts1, Pts2, Pts3],{fixed:true, strokeWidth:2, fillColor:'white',highlight:false, fillOpacity:1, borders:{visible:false, fixed:true, strokeColor:'black'},visible:function(){if(i+j<2){return true}else{return false}}});\r\n  var angs1 = brd2.create('angle', [Pts3, Pts2, Pts1],{radius:1, strokeColor:'blue', fillColor:'blue', visible:function(){if(i==0){return true}else{return false}}, label:{color:'blue', fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n //brd2.create('angle', [Pts1, Pts2, Pts3],{radius:1, strokeColor:'blue', fillColor:'blue', visible:function(){if(i==0){return true}else{return false}}, label:{color:'blue', fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n  //brd2.create('minorsector', [Pts2, Pts1, Pts3],{radius:1, strokeColor:'blue', fillColor:'blue', visible:function(){if(i==0){return true}else{return false}}, label:{color:'blue', fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n  var angs2 = brd2.create('angle', [Pts2, Pts1, Pts3],{radius:1, strokeColor:'red', fillColor:'red', label: {color:'red',fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n  var angs3 = brd2.create('angle', [Pts1, Pts3, Pts2],{radius:1, strokeColor:'green', fillColor:'green',visible:function(){if(j==0){return true}else{return false}}, label: {color:'green', fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n  var angs = brd2.create('angle', [[50, 0], Pts1, Pts2],{radius:1, strokeColor:'green', fillColor:'green',visible:false});\r\n  //\r\n  //var m1 = brd2.create('midpoint', [Pts1, Pts2]);\r\n  //var m2 = brd2.create('midpoint', [Pts1, Pts3]);\r\n  var sci1 =brd2.create('image', ['/assets/scissors.svg',[function(){return Pts2.X()-Math.cos(angs.Value())-0.25;}, function(){return Pts2.Y()-Math.sin(angs.Value())-0.25;}], [0.5,0.5]],{visible:function(){if(i<1){return true}else{return false}}});\r\n  var sci2= brd2.create('image', ['/assets/scissors.svg',[function(){return Pts3.X()-Math.cos(angs.Value()+angs2.Value())-0.25;}, function(){return Pts3.Y()-Math.sin(angs.Value()+angs2.Value())-0.25;}], [0.5,0.5]],{visible:function(){if(j<1){return true}else{return false}}});\r\n  //var sci3= brd2.create('image', ['/assets/scissors.svg',[function(){return Pts1.X()+Math.cos(angs.Value())-0.25;}, function(){return Pts1.Y()+ Math.sin(angs.Value())-0.25}], [0.5,0.5]],{visible:function(){if(j<1){return true}else{return false}}});\r\n  var trot = brd2.create('transform', [function(){return -angs1.Value();}, Pts1], {type:'rotate'});\r\n  var Pts4 = brd2.create('point', [Pts2, trot],{name:'', size:0,visible:function(){if(i==1){return true}else{return false}}});\r\n  brd2.create('angle', [Pts4, Pts1, Pts2],{name:'&alpha;', fillColor:'blue', strokeColor:'blue', radius:1,visible:function(){if(i==1){return true}else{return false}},label: {fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n  var trot2 = brd2.create('transform', [function(){return angs3.Value();}, Pts1], {type:'rotate'});\r\n  var Pts5 = brd2.create('point', [Pts3, trot2],{name:'', size:0, visible:function(){if(j==1){return true}else{return false}}});\r\n  sci1.on('down', function(){return i= i+1;});\r\n  sci2.on('down', function(){return j=j+1;});\r\n  Pts3.on('down', function(){i=0; j=0; return;});\r\n  Pts2.on('down', function(){i=0; j=0;  return;});\r\n  Pts1.on('down', function(){i=0; j=0;  return;});\r\n  brd2.create('angle', [Pts3, Pts1, Pts5],{name:'&gamma;', fillColor:'green', strokeColor:'green', radius:1,visible:function(){if(j==1){return true}else{return false}},label: {color:'green', fontSize:function(){return 18*brd2.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n  brd2.create('segment', [Pts1, Pts4],{strokeWidth:1, strokeColor:'black',visible:function(){if(i==1){return true}else{return false}}});\r\n  brd2.create('segment', [Pts1, Pts5],{strokeWidth:1, strokeColor:'black',visible:function(){if(j==1){return true}else{return false}}});\r\n  //brd2.create('text', [-6, 5.5, function(){return '&alpha;= '+ (angs1.Value()*180/Math.PI).toFixed(2) + '^o'}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd2.canvasWidth/500.)}, fixed:true});\r\n  //brd2.create('text', [-4, 5.5, function(){return '&beta;= '+ (angs2.Value()*180/Math.PI).toFixed(2)+ '^o'}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd2.canvasWidth/500.)}, fixed:true});\r\n  //brd2.create('text', [-2, 5.5, function(){return '&gamma;= '+ (angs3.Value()*180/Math.PI).toFixed(2) + '^o'}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd2.canvasWidth/500.)}, fixed:true});\r\n//\r\n  brd2.create('text', [-2, 8.5, function(){return '&alpha;= '+ (angs1.Value()*180/Math.PI).toFixed(2) + '^o'}],{anchorX:'middle', highlight:false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd2.canvasWidth/500.)}, fixed:true, highlight:false});\r\n  brd2.create('text', [0, 8.5, function(){return '&beta;= '+ (angs2.Value()*180/Math.PI).toFixed(2)+ '^o'}],{anchorX:'middle', highlight:false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd2.canvasWidth/500.)}, fixed:true});\r\n  brd2.create('text', [2, 8.5, function(){return '&gamma;= '+ (angs3.Value()*180/Math.PI).toFixed(2) + '^o'}],{anchorX:'middle', highlight:false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd2.canvasWidth/500.)},fixed:true});\r\n  //\r\n  brd2.create('text', [-2, 7.5, function(){return 'Sum = '+ (angs1.Value()*180/Math.PI).toFixed(2) +'^o + ' + (angs2.Value()*180/Math.PI).toFixed(2)+'^o + '+(angs3.Value()*180/Math.PI).toFixed(2) + '^o' + ' = 180^o' }],{anchorX:'middle', highlight:false, visible:function(){if(i+j<2){return false}else{return true}}, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(14*brd2.canvasWidth/500.)}, fixed:true});\r\n  brd2.unsuspendUpdate();\r\n},\r\n}\r\nexport default Boxes;\r\n","<template>\r\n  <div>\r\n    <h3 ref=\"ia\">\r\n      Triangle Sum Theorem\r\n    </h3>\r\n    <p>\r\n      Triangle sum theorem states that the three interior angles of a triangle always add to 180<sup>o</sup>.\r\n      In other words, if you cut out the three\r\n      angles of a triangle and place them adjacent to each other, they form a straight angle.\r\n      Consider a triangle formed by three points O, A and B &mdash; as shown in the figure below.\r\n      The three angles of the triangle are &alpha;, &beta;, and &gamma;. Then, according to\r\n      triangle sum theorem &mdash;\r\n      $$\\alpha + \\beta + \\gamma = 180^o$$\r\n      This theorem is not a special case but is a fundamental property of triangles, i.e., this is true for all triangles.\r\n    </p>\r\n    <br>\r\n    <v-layout justify-center>\r\n      <v-img src=\"/assets/triangle_sum.png\"\r\n             max-height=\"450px\"\r\n             max-width=\"450px\"\r\n             contain\r\n      />\r\n    </v-layout>\r\n    <h3 ref=\"playgraph1\">\r\n      MagicGraph 1. &vert; Three angles of a triangle form a half circle\r\n    </h3>\r\n    <p>\r\n      This MagicGraph offers a geometric approach to understand why the sum of three angles of a triangle is always 180<sup>o</sup>.\n    </p>\r\n    <h5> To Get Started: </h5>\r\n    <p>\r\n      You are given a triangle formed by points O, A and B.\r\n      The vertices O, A, and B of the triangle can be dragged and moved around to change\r\n      the type (i.e., acute, obtuse or right) and size of the triangle.\r\n      You will be able to see that the three interior angles &alpha;, &beta; and &gamma; change as the vertices are dragged around.\r\n    </p>\r\n    <h5> To Explore:</h5>\r\n    <p>\r\n      Drag points O, A and B of the triangle to change the type (i.e., acute, obtuse or right) and size of the triangle OAB.\r\n      Then, tap on the two scissors to cut out the angles &alpha; and &beta;.\r\n      No matter what type or size of the triangle you choose, the three interior\r\n      angles &alpha;, &beta; and &gamma; always form a half circle when stacked adjacent to each other.\r\n    </p>\r\n    <v-responsive>\r\n      <v-layout justify-center>\r\n        <div id=\"jxgbox2\" class=\"edliy-box-about\" />\r\n      </v-layout>\r\n    </v-responsive>\r\n    <h3 ref=\"playgraph2\">\r\n      MagicGraph 2. &vert; Sum of the three angles of a triangle is always 180<sup>o</sup>\r\n    </h3>\r\n    <p>\r\n      This MagicGraph offers a direct approach to verify that the sum of three angles of a triangle is always 180<sup>o</sup>.\n    </p>\r\n    <h5> To Get Started: </h5>\r\n    <p>\r\n      You are given a triangle formed by points O, A and B. The vertices O, A, and B of the triangle can be dragged and moved around to\r\n      change the type (i.e., acute, obtuse or right) and size of the triangle.\r\n      You will be able to see that the three interior angles &alpha;, &beta; and &gamma; change as the vertices O, A and B are dragged around.\r\n    </p>\r\n    <h5> To Explore:</h5>\r\n    <p>\r\n      Drag points O, A and B of the triangle to change the type (i.e., acute, obtuse or right) and size of the triangle OAB.\r\n      Then, tap on the two scissors to cut out the angles &alpha; and &beta;.\r\n      No matter what type or size of the triangle you choose, the three interior\r\n      angles &alpha;, &beta; and &gamma; always add to 180<sup>o</sup>.\r\n    </p>\r\n    <v-responsive>\r\n      <v-layout justify-center>\r\n        <div id=\"jxgbox1\" class=\"edliy-box-about\" />\r\n      </v-layout>\r\n    </v-responsive>\r\n  </div>\r\n</template>\r\n<script>\r\nimport Boxes from './Boxes.js'\r\nexport default {\r\n  name: 'AnglesofaTriangle',\r\n  created: function () {\r\n      this.$store.commit('navigation/resetState');\r\n    // Store mutations\r\n    let title = 'Triangle Sum Theorem';\r\n    this.$store.commit('navigation/changeTitle', title);\r\n    this.$store.commit('navigation/changeMenu', title);\r\n    let newTopics = [\r\n      {title: 'Triangle Sum Theorem', img:'/assets/number-1.svg', action: () => this.goto('ia')},\r\n      {title: 'MagicGraph # 1',img:'/assets/touch.svg', action: () => this.goto('playgraph1')},\r\n      {title: 'MagicGraph # 2',img:'/assets/touch.svg', action: () => this.goto('playgraph2')},\r\n\r\n    ];\r\n    this.$store.commit('navigation/replaceTopics', newTopics);\r\n    let newshowhome = false;\r\n    this.$store.commit('navigation/toggleshowhome', newshowhome);\r\n    let newMath =true;\r\n    this.$store.commit('navigation/replaceMath', newMath);\r\n    let newLeftArrow =true;\r\n    this.$store.commit('navigation/replaceLeftArrow', newLeftArrow);\r\n    let newModule=true;\r\n    this.$store.commit('navigation/replaceModule', newModule);\r\n  },\r\n  mounted () {\r\n    MathJax.Hub.Queue([\"Typeset\", MathJax.Hub]);\r\n    Boxes.box1();\r\n    Boxes.box2();\r\n  },\r\n  metaInfo() {\r\n  return{ title: 'Triangle Sum Theorem',\r\n          titleTemplate: '%s - Learn interactively',\r\n          meta: [ {name: 'viewport', content: 'width=device-width, initial-scale=1'},\r\n                  {name: 'description', content: 'Learn interactively about triangle sum theorem.'}\r\n                ]\r\n        }\r\n   },\r\n}\r\n</script>\r\n<style lang=\"scss\">\r\n@import 'src/styles/edliy-box.scss';\r\n@import 'src/styles/edliy-box.scss';\r\n@import 'src/styles/subtopic-menu.scss';\r\n@import 'src/styles/edliy-box-about.scss';\r\n</style>\r\n","import mod from \"-!../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../node_modules/thread-loader/dist/cjs.js!../../../../node_modules/babel-loader/lib/index.js!../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../node_modules/thread-loader/dist/cjs.js!../../../../node_modules/babel-loader/lib/index.js!../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=6604f800&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\nimport style0 from \"./Lesson.vue?vue&type=style&index=0&id=6604f800&prod&lang=scss&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n  script,\n  render,\n  staticRenderFns,\n  false,\n  null,\n  null,\n  null\n  \n)\n\nexport default component.exports"],"sourceRoot":""}