Question

Verified by Toppr

Steps of Construction

1. Construct a line segment $AB=6$ cm.

2. Taking A as Centre and $6.5$ cm as radius and B as Centre and $5.6$ cm as radius construct arcs which intersect each other at point C.

3. Now join AC and BC.

4. Construct the angle bisector of $∠A$ and $∠B$ which intersect each other at point I.

5. From the point I construct IL which is perpendicular to AB.

6. Taking I as Centre and IL as radius construct a circle which touches the sides of $Δ$ABC internally.

By measuring the required incircle the radius is $1.6$ cm.

0

0