The shorter leg of a 30°-60°-90° right triangle measures 5 in. what is the length of the longer leg?

a. 5 square root of 3 inches

b. 10 inches

c. 5 square root of 2 inches

d. 15 in

The relationship of the angles to the sides opposite those angles is always:

30°=1, 60°=√3, and 90°=2

So the longer leg can be found using the ratios from above...

L/S=√3/1 and we are told that the shorter side is 5 in so

L/5=√3

L=5√3

So A. is the correct answer.

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Do the inverse operation