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State the Pythagorean Theorem and how would you use it to find a missing side or missing hypotenuse of a right triangle.

ANSWER= State the Pythagorean Theorem: a2 + b2 = c2

Can someone explain how to get this?

1 Answer

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The Pythagorean theorem states, in words, that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.  Translating the theorem, a and b are the legs of the right triangle and c is the hypotenuse.  To use the legs to find the length of the hypotenuse, substitute them into a and b.  Square both of these numbers.  Add them together.  This gives us c²; in order to just find c, we must take the square root of the sum.  This will give us the length of the hypotenuse.
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