Question

Contruct 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 incricle.

Answer 1

Steps of construction: 

1. Draw BC = 6.5 cm.
2. With B as centre, draw an arc of radius 5.5 cm.
3. With C as centre, draw an arc of radius 5 cm. 
   Let this arc meets the previous arc at A.
4. Join AB and AC to get ΔABC. 
5. Draw the bisectors of ∠ABC and ∠ACB. 
   Let these bisectors meet each other at O. 
6. Draw ON ⊥ BC. 
7. With O as centre and radius ON, draw a incircle that touches all the side of ΔABC.
8. By measurement, radius ON = 1.5 cm.