Question

Use a ruler and a pair of compasses to construct ΔABC in which BC = 4.2 cm, ∠ ABC = 60°, and AB 5 cm. Construct a circle of radius 2 cm to touch both the arms of ∠ ABC of Δ ABC.

Answer 1

BC = 4.2 cm, ∠ ABC = 60°, and AB = 5 cm.
Steps of construction:
(i) Draw BC of length 4.2 cm.
(ii) Draw an angle of 60° at B.
(iii) Cut BA = 5 cm and join A to B.
(iv) Draw angle bisector of ∠ ABC. 
(v) Draw BD at 2 cm intersecting EF at O.
(vi) Taking O as centre and 2 cm as radius draw the required circle.