Question

Draw a triangle of sides 5 cm, 6 cm and 7 cm. Draw its incircle. Measure and write the radius of the incircle.

Answer 1

Steps of Construction:
1. Construct $△ABC$ having sides $BC=7cm,AC=5cm$ and $AB=6cm.$
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 in circle of the triangle.
Radius, OP of incircle is 1.6 cm.