{"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":"

Math Labs with Activity – Incircle of a given Triangle<\/a> by Paper Folding Method<\/strong><\/span><\/h2>\n

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

    \n
  1. A sheet of white paper<\/li>\n
  2. A geometry box<\/li>\n<\/ol>\n

    Theory<\/strong> <\/span>
    \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\"Math<\/p>\n

    Procedure<\/strong> <\/span>
    \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\"Math
    \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\"Math
    \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\"Math<\/p>\n

    Result<\/strong><\/span>
    \nThe circle drawn in Figure 32.4 is the incircle of the given triangle.<\/p>\n

    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":"\nMath Labs with Activity - Incircle of a given Triangle by Paper Folding Method - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/math-labs-activity-incircle-given-triangle-paper-folding-method\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math Labs with Activity - Incircle of a given Triangle by Paper Folding Method\" \/>\n<meta property=\"og:description\" content=\"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 ... 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