Question

Construct traingle ABC, when: AB = 7 cm, ∠B = 120° and ∠A = 30°. Measure AC and BC. 

Answer 1

Steps of Construction:

(1) Draw a line segment AB = 7 cm

(2) At A construct an angle ∠A = 30°.

(3) At C construct an angle ∠C = 45°.

(4) AE and BD intersect each other at C.

(5) ∴ ∆ABC is the required triangle.

(6) On measuring length of AC = 12cm and BC = 7 cm respectively.