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

1.	If the three angles of a triangle are in the ratio 3 : 5 : 4, then find them.
Answer» Given three angles of the triangles 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 = \(\frac{180°}{12}\) x = 15° ∴ The angle are 3x = 3 x 15° = 45° 5x = 5 x 15° = 75° 4x = 4 x 15° = 60° Three angles of the triangle are 45°, 75°, 60°

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

Answer»

Given three angles of the triangles 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 = \(\frac{180°}{12}\)

x = 15°

∴ The angle are 3x = 3 x 15°

= 45°

5x = 5 x 15°

= 75°

4x = 4 x 15°

= 60°

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