Question

Construct a triangle ABC in which ∠B = 90°, ∠C = 60° and c = 5 cm.

Answer 1

First, of all we will find the third angle of ΔABC

i.e. ∠A = 180° – (90° + 60°) = 30°

Steps of construction:

1. First draw AB = 5 cm as base line.
2. At B, draw an angle of 90° with the help of compass.
3. Also at A, construct an angle of 30°, which meets at C.

Hence, ΔABC is the required triangle.