{"id":18847,"date":"2018-01-19T11:04:49","date_gmt":"2018-01-19T11:04:49","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=18847"},"modified":"2020-11-26T12:40:11","modified_gmt":"2020-11-26T07:10:11","slug":"math-labs-activity-incircle-given-triangle-paper-folding-method","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/math-labs-activity-incircle-given-triangle-paper-folding-method\/","title":{"rendered":"Math Labs with Activity – Incircle of a given Triangle by Paper Folding Method"},"content":{"rendered":"
OBJECTIVE<\/strong><\/span><\/p>\n To draw the incircle of a given triangle by the method of paper folding<\/p>\n Materials Required<\/strong><\/span><\/p>\n Theory<\/strong> <\/span> Procedure<\/strong> <\/span> Result<\/strong><\/span> Remarks:<\/strong> The teacher must explain it to the students that since all the angle bisectors of a triangle meet at a point, it is sufficient to construct only two angle bisectors so as to obtain their point of intersection as the incentre.<\/p>\n Math Labs with Activity<\/a>Math Labs<\/a>Science Practical Skills<\/a>Science Labs<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Math Labs with Activity – Incircle of a given Triangle by Paper Folding Method OBJECTIVE To draw the incircle of a given triangle by the method of paper folding Materials Required A sheet of white paper A geometry box Theory The point of intersection of the internal bisectors of the angles of a triangle gives … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6805],"tags":[],"yoast_head":"\n\n
\nThe point of intersection of the internal bisectors of the angles of a triangle gives the incentre of the triangle.
\nLet I be the incentre of a \u0394ABC. We drop a perpendicular from I on the side BC. Let ID \u22a5 BC.
\nTaking I as the centre and ID as the radius, we can draw the incircle of the \u0394ABC (see Figure 32.1).
\n<\/p>\n
\nStep 1:<\/strong> Draw any triangle on the sheet of white paper.
\nMark its vertices as A, B and C. We shall draw the incircle of the \u0394ABC.
\nStep 2:<\/strong> Fold the paper along the line passing through the vertex A such that the side AB falls over the side AC. Make a crease and unfold the paper.
\nDraw a line AX along the crease. Then, AX is the internal bisector of \u2220A as shown in Figure 32.2.
\n
\nStep 3:<\/strong> Fold the paper along the line passing through the vertex B such that the side BC falls over the side AB. Make a crease and unfold the paper. Draw a line BY along the crease. Then, BY is the internal bisector of \u2220B as shown in Figure 32.3.
\n
\nStep 4:<\/strong> Mark the point of intersection of the two angle bisectors as the point I.
\nStep 5:<\/strong> Fold the paper along the line that passes through the point I and cuts the line BC in such a way that one part of the line BC falls over the other part. Make a crease and unfold the paper. Mark a point D where the line of fold cuts the line BC. Join ID as shown in Figure 32.4.
\nStep 6:<\/strong> Taking \/ as the centre and ID as the radius, we draw a circle (using a pair of compasses) as in Figure 32.4.
\n<\/p>\n
\nThe circle drawn in Figure 32.4 is the incircle of the given triangle.<\/p>\n