Question

If the three angles of a triangle are in the ratio 3 : 5 : 4, then find them

Answer 1

Given three angles of the triangle are in the ratio 3 : 5 : 4.

Let the three angle be 3x, 5x and 4x.

By angle sum property of a triangle, we have

3x + 5x + 4x = 180°

12x = 180°

x = `(180^circ)/12`

x = 15°

∴ The angle are 3x = 3 × 15° = 45°

5x = 5 × 15° = 75°

4x = 4 × 15° = 60°

Three angles of the triangle are 45°, 75°, 60°