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!
