Question

The angles in a triangle are in the ratio 5 : 3 : 1.

a) What type of triangle is it?
b) Calculate the biggest angle of this triangle.

Answer 1

Explanation:

It is an obtuse triangle because one angle (5) takes up more than the sum of the other two (3+1=4).

The angles are:

5+3+1 = 9

Each angles is

5/9 * 180 = 100°

3/9 * 180 = 60°

1/9 * 180 = 20°

Total = 100+60+20 = 180 degrees.