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In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 44 inches?

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Answer:

22√3 inches

Explanation:

You want to know the length of the longer leg of a 30°-60°-90° triangle when the hypotenuse is 44 inches.

Side lengths

The ratios of side lengths in a 30°-60°-90° triangle are ...

1 : √3 : 2

This means the longer leg is (√3)/2 times the length of the hypotenuse.

Application

In the given triangle, the longer leg is ...

(44 in)(√3)/2 = 22√3 in

User BradC
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