Answered

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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?

Sagot :

sqdancefan

Answer:

  22√3 inches

Step-by-step 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

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