Question

Construct a triangle ABC in which AB=8 cm ,BC=6 cm and CA=5cm. Find the incentre.

Answer 1

First we draw a line segment $BC=6$ cm

With the help of compass, draw a curve from point $B$ of $8$ cm

Again draw a curve from point $C$ of $5$ cm

These both curves cut each other at a point, name it as $A$

Join $AC$ and $AB$

Then, $ABC$ is the required triangle

After that we bisect angles $A,B$ and $C$

The bisectors of these three angles intersect at a point say $O$.

Then draw a circle taking $O$ as the centre which touches all three sides f a triangle.

The resultant circle is the required circle and $O$ is the incentre of triangle $ABC$.