Question

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

a) Show that the triangle is a right-angled triangle.

Answer 1

Explanation:

Remark

The angles can measure

x + 2x + 3x

The total must be 180 degrees because all triangles have 180 degrees

Equation

x + 2x + 3x = 180 Combine

6x = 180 Divide by 6

6x/6 = 180/6

x = 30

1x = 30

2x = 60

3x = 3*30 = 90

A right angle triangle has 90 degrees.