Question

Construct Δ  ABC, given m∠ A = 60 , m∠ B = 30 and AB = 5.8 cm.

Answer 1

To construct: Δ  ABC where m∠ A = 60° , m∠B = 30° and AB = 5.8 cm.

Steps of construction:

(a) Draw a line segment AB = 5.8 cm.

(b) At point A, draw an angle ∠ YAB = 60° with the help of compass.

(c) At point B, draw ∠ XBA = 30° with the help of compass.

(d) AY and BX intersect at the point C.

It is the required triangle ABC.