4. the hypotenuse of a 30°- 60°- 90° right triangle measures 22 cm. what are the lengths of the longer leg and shorter leg? 4. the hypotenuse of a 30°- 60°- 90° right triangle measures 22 cm. what are the lengths of the longer leg and shorter leg?

We are given the a right triangle and the interior angles of the triangle. We use some trigonometric functions to solve the length of the remaining legs. We calculate as follows:

let a and b the length of the legs

cos 30 = a / 22
         a = 19.05 cm

sin 30 = b / 22
        b = 11 cm

Hope this answers the question. Have a nice day.