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Sati [7]
3 years ago
10

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

Mathematics
1 answer:
DedPeter [7]3 years ago
3 0
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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