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Heron's Formula: a Proof. The area S of a triangle ABC, with side length a, b, c and semiperimeter s = (a + b + c)/2, is given by S² = s(s - a)(s - b)(s - c). Heron's formula is named after Hero of Alexandria (1 century AD. The formula is a specialization of Brahmagupta's formula for cyclic quadrilaterals
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