Abstract
We say that (a, b, c) is a Pythagorean triple if a, b, c are positive integers satisfying a2 + b2 = c2. Let's start with a Pythagorean triple (a, b, c), such as (5,12,13). Let s denote the semiperime ter (half the perimeter) of the corresponding triangle, e.g., s = (a + b + c)/2 = 15. Our example Pythagorean triangle has area (12)(5)/2 = 30. Now, Heron's formula gives an alternate way to compute the area, valid for arbitrary triangles with side lengths a, b, c, not just right
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