Question

Draw a triangle of sides 6 cm,5 cm and 5 cm and
construct its incircle. Write the radius of the
incircle.​

Answer 1

★$\huge\bf{\blue{\underline{Question:-}}}$

Draw a triangle of sides 6 cm,5 cm and 5 cm and

construct its incircle. Write the radius of the

incircle.

————————————————————————————

★$\huge\bf{\green{\underline{Explanation:-}}}$

Steps of Construction:

1. Construct △ABC having sides BC=7cm,AC=5cm and AB=6cm.

2. Draw angle bisector of any two angles say ∠B and ∠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.

————————————————————————————