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Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a hypotenuse = 24?

Guest Jun 19, 2018
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You didn't give the "choices" in your question! However, because it is 45-45-90 right-angle triangle, and the hypotenuse = 24, then the other 2 sides are equal. We can use:

Sin(45) = Opposite side / hypotenuse

Sqrt(2)/2 =opposite side / 24

Opposite side = 24 x sqrt(2)/2

Opposite side =~16.97 and the 3rd side also =~16.97.

So, the 3 sides are =24, 16.97, 16.97.

Guest Jun 19, 2018

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