Question

Draw a triangle of sides $5cm$ and $5cm$ and construct its incircle. Write the radius of the incircle.

Answer 1

(1) Construct $△ABC$
(2) Draw angle bisector of any two angles say $\angle B$ and $\angle C$ of $△ABC$ and let these intersect at a point say $O$.
(3) Draw perpendicular from $O$ on any side of triangle, say $OP$ on $BC$.
(4) Taking $O$ as centre and $OP$ as radius, draw a circle.
(5) The circle touches the other two sides of triangle. This will be the required incircle of the triangle.
Radius, $OP$ of incircle is $1.5cm$