AC = 6 cm, ∠A = 60“ and ∠C = 45°. Measure AB and BC.

Question

Construct triangle ABC, when :

AC = 6 cm, ∠A = 60“ and ∠C = 45°. Measure AB and BC.

Answer 1

Steps of Construction :

(1) Draw a line segment AC = 6 cm.

(2) At A construct an angle ∠A = 60°.

(3) At C construct an angle ∠C = 45°.

(4) AD and CE intersect each other at B.

(5) ∴ ΔABC is the required triangle.

(6) On measuring AB = 4-4 cm, BC = 5.4 cm.