Question

Construct a ΔABC with BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm. Construct the incircle of the triangle. Measure and record the radius of the incircle.

Answer 1

The incircle of the triangle is drawn with the joining point of all angular bisectors as the centre.

• Construct a ΔABC with the given data.
• Draw the angle bisector of ∠B and ∠C. Let these bisectors cut at O.
• Taking O as the centre. Draw a incircle which touches all the sides of the ΔABC
• From O draw a perpendicular to side BC which cut at N.
•  Measure ON which is the required radius of the incircle. ON = 1.5 cm