Question

The hypotenuse of a 30°- 60°- 90° right triangle measures 22 cm. What are the lengths of the longer leg and shorter leg?

Answer 1

Solve right triangle knowing hypotenuse = 22

Ans: 11 and 19,03

Explanation:

Call A the right triangle with `A = 30^@` and a the opposite side.
We have:
`sin A = sin 30^2 = a/22 --> a = 22sin 30 = 22(1/2) = 11`
`cos A = b/22 -> b = 22cos 30 = 22(sqrt3/2) = 22(1.73/2) = 19.03`