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Question

Construct a triangle ABC with BC = 6.5 cm,AB = 5.5 cm.AC = 5 cm. Construct the incircle of the triangle. Measure the radius of the incircle.(approximate)

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Solution

Steps of construction:

1) Draw BC = 6.5 cm.

2) With B as centre, draw an arc of radius 5.5 cm.

3) With C as centre, draw an arc of radius 5 cm. Let this arc meets the previous arc at A.

4) Join AB and AC to get triangle ABC.

5) Draw the bisectors of ABC and ACB. Let these bisectors meet each other at O.

6) Draw ON perpendicular to BC.

7) With O as centre and radius ON, draw a circle that touches all the three sides of the triangle.

8) Measure ON. ON = 1.6 cm (approx)


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