Question

The angles of a triangle are in the ratio 1:2:3. Determine the three angles.

Answer 1

Given: ∠A: ∠B: ∠C = x: 2x: 3x

To Find: ∠A, ∠B and ∠C

Solution:

In ΔABC, ∠A + ∠B + ∠C = 180° (Sum of the angles of a triangle)

x + 2x + 3x = 180°

6x = 180°

∴x = 30°

∠A = x = 30°

∠B = 2x = 60°

∠C = 3x = 90°