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The Pythagorean **theorem** is one of the most ancient theorems of mathematics. The Pythagorean theorem states that in a right **triangle** (a triangle with a 90 degree **angle**), the sum of the squares of the lengths of the two legs is equal to the **square** of the length of the **hypotenuse**; the legs of a right triangle are the two sides adjoining the 90 degree angle, and the hypotenuse is the opposite side. In terms of symbols, if the lengths of the legs are labeled a and b, and the hypotenuse is labeled c, the Pythagorean theorem states the famous relationship that a^2+b^2=c^2, the form in which the theorem is most commonly remembered. The Pythagorean theorem is one of the most powerful of the fundamental theorems of **geometry**. It is the basis for the **definition** of the **distance** between two points in the rectangular coordinate system, the key...

This section contains 816 words(approx. 3 pages at 300 words per page) |