Question

Draw an equilateral triangle of side 6.5 cm and locate its incentre. Also draw the incircle

Answer 1

Steps for construction:

Step 1: Draw the ΔABC with the each side measure 6.5 cm.

Step 2: Construct the angles bisectors of any two angles (A and B) and let them meet at I. Then I is the incentre of ΔABC.

Step 3: Draw perpendicular from I to any one of the side (AB) to meet AB at D.

Step 4: With I as centre and ID as radius draw the circle. This circle touches all the sides of the triangle internally.

Step 5: Measure of In-radius = 1.5 cm.