The letters a, b, and c show up in several different places in number theory. You may have seen the equation a2 + b2 = c2 , also called the Pythagorean theorem. In this instance, a and b represent the lengths of the two short sides, or legs, of a right triangle, and c is the long side, also called the hypotenuse. The lengths a, b, and c don’t have to be whole numbers, but some whole numbers fulfill the equation. The smallest example is (3,4,5). If you square all three of them, you find that 32 + 42 = 52 , or 9 + 16 = 25. A triple of whole numbers that satisfies the equation a2 + b2 = c2 is called a Pythagorean triple.
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