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What is the length of the hypotenuse of the right triangle below?

What is the length of the hypotenuse of the right triangle below?-example-1

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Answer:

A. 14

Explanation:

The triangle shown is a 30-60-90 triangle, which is one of the special triangles.

The hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle. The longer leg, which is across from the 60 degree angle, is equal to multiplying the shorter leg by the square root of 3.

In this case, to get the shorter leg from the longer leg, you must divide by root 3, which will then cancel out with 7 root 3, making the shorter leg = 7.

Since the hypotenuse is equal to double the length of the shorter leg:

7 x 2 = 14,

the length of the hypotenuse is 14.

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