How to find the length of the side of a right triangle - SSAT Upper Level Quantitative

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Question

A right triangle has a hypotenuse of 39 and one leg is 36. What is the length of the other leg?

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Answer

You may recognize these numbers as multiples of 13 and 12 (each by a factor of 3) and remember that sides of length 5, 12 and 13 make a special right triangle. So the other leg would be 15 .

If you don't remember this, you can use Pythagorean theorem:

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