Question

Construct ΔABC such that ∠B = 100°, BC = 6.4 cm, ∠C = 50° and construct its incircle.

Answer 1

Rough figure:

Steps of construction:

1. Construct ΔABC of given measures.
2. Draw bisectors of two angles, ∠C and ∠B.
3. Name the point of intersection of angle bisectors as I.
4. Draw a perpendicular IM on side BC. Point M is the foot of the perpendicular.
5. Draw a circle that touches all sides of the triangle with I as centre and IM as radius.