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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?

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MissPhiladelphia
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.

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