Question

Construct $△XYZ$ such that $XY=6.7cm,YZ=5.8cm,XZ=6.9cm$. Construct its incircle.

Answer 1

Steps of Construction:

$1$.Construct $△XYZ$ of given dimensions.

$2$.Draw bisectors of two angles, $\angle X$ and $\angle Y$.

$3$.Denote the point of intersection as $O$.

$4$.Draw perpendicular $OA$ on $XY$.

$5$.Draw a circle with $O$ as center and $OA$ as radius.