Question

Construct a incircle of a right angled triangle with sides $8cm,6cm$ and $10cm$.

Answer 1

First we draw a line segment $BC=8$ cm

Open compass $6$ cm and draw an arc from point $B$

Again draw an arc of $10$ cm taking centre as $C$

These both arcs intersect each other at a point and name that point as $A$

Join $AC$ and $AB$

Then, triangle $ABC$ is the required right angled triangle

After that we bisect $\angle A$ and $\angle C$

The bisectors of these two angle cut at point $O$

Then draw a circle with centre as $O$

The resultant circle is the required circle with centre $O$.