Question

Construct ΔXYZ such that XY = 6.7 cm, YZ = 5.8 cm, XZ = 6.9 cm and constructs its incircle.

Answer 1

Rough figure:

Steps of construction:

1. Construct ΔXYZ of given measures.
2. Draw bisectors of two angles, ∠X and ∠Z.
3. Name the point of intersection of angle bisectors as I.
4. Draw a perpendicular IM on side XZ. 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.