The length of the hypotenuse of a 30 -60 -90 triangle is 32. What are the lengths of the legs?

Question

asked Jul 5, 2022 141k views

1 Answer

Yusuf Ganiyu · Answer 1 · 2022-07-11T13:50:30+0000

Answer:

16, 16(sqrt3)

Explanation:

30-60-90 triangles follow a rule where the hypotenuse is 2 times the shortest leg, and the longer leg is sqrt3 times the shorter leg.

So, the sides are x, 2x, and (sqrt3)x.

If 2x = 32, then x = 16.

Therefore the two legs are 16 and 16(sqrt3)

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