Question

Construct a triangle ABC with the following data: AB = 3 cm, BC = 4 cm and AC = 5 cm. Find its inradius.

[3 Marks]

Answer 1

Steps of constructions :

(i) Draw the required triangle using the given parameters.

(ii) Draw the angle bisectors of $\angle Band\angle C$. Let them meet at point O.

(iii) From O drop a perpendicular to BC, that cuts BC at N.

(iv) With O as centre and ON as radius draw a circle that touches all three sides of the triangle.

(v) Measure ON. ON = 1 cm.

[1.5 Marks]

[1.5 Marks]