Question

the angles in a triangle are in the ratio 1:2:3 show that this triangle is a right angle traingle

Answer 1

Answer and explanation:

We know the sum of interior angles in a triangle is 180°.

• 1 : 2 : 3 = 6 (1 + 2 + 3)
• x : y : z = 180 (x, y and z are the unknown angles)

To get from 6 to 180, we multiply by 30. This means we can find the angles by doing:

• 1 × 30 = 30°
• 2 × 30 = 60°
• 3 × 30 = 90°

The triangle must be right-angled because one of the angles is 90°. We know that the shape is a triangle because 30 + 60 + 90 = 180°.

The ratio is 30 : 60 : 90.

Hope this helps!