Question

A right triangle’s hypotenuse is 20 cm long. What is the length of the side opposite a 60° angle? Give your answer to the nearest tenth of a centimeter.
• 40
• 18.5
• 20
• 17.3
Please show how.

Answer 1

The sides are in the ratio 1:√3:2, so with the hypotenuse=20, we have

10:10√3:20, with the longer leg opposite the larger angle.

Looks like 17.3 to me.

Answer 2

Thanks much