Geometry sums and 9th std

Question

The angle of a triangle are in the ratio 1:2:3 ,find the measure of each angle of a triangle

Answer 1

Hello Ruby,

Given the ratio of 1:2:3, the actual side measures could be 2:4:6, 3:6:9...some (same) number multiplied by the original three. Let 'x' be that number.

Then, since there are 180 degrees in a triangle, we have

1x + 2x + 3x = 180

→ 6x = 180

→ x = 30

→ the three angles are 30, 60, and 90.

I hope the above helps, and thank you for the question. Have a great morning!

Michael E.