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)

Answer 1

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 $\angle ABC$ and $\angle ACB$. 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)