Question

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

Answer 1

Rough diagram

Side = 6.5 cm

Construction : 

Step 1 : Draw ∆ABC with AB = BC = CA = 6.5 cm 

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

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

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

Step 5 : Measure in radius. In radius = 1.9 cm.