Question

Draw a triangle of sides 5 cm , 6 cm and 7 cm . Draw an isosceles triangle with the same area.​

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 ∠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.