Construct a ABC with BC 65 cm AB 55 cm AC 5 cm Construct the incircle of the triangle Measure and re...

Question

Construct a ABC with BC 65 cm AB 55 cm AC 5 cm Construct the incircle of the triangle Measure and record the radius of the incircle

Accepted Answer

Solution The circle that encircles a triangle and known as a inscribed circle It is the biggest circle that can fit inside the triangle and barely touch either side Steps to construct Step 1 Draw a line segment BC 65cm Step 2 With B as center and C as center draw arcs AB 55cm and AC 5cm Step 3 Join AB and AC Step 4 Draw the angle bisectors of B and C The bisectors meet at point O Step 5 With O as the center Draw an incircle which touches all the sides of the triangle ABC Step 6 From point O draw a perpendicular to side BC which cuts at point N Step 7 On measuring the radius ON 15cm

ML Aggarwal Solutions Class 10 Mathematics Solutions for Constructions Exercise 16.2 in Chapter 16 - Constructions