History
The formula is credited to Heron (or Hero) of Alexandria, and a proof can be found in his book, Metrica, written c. 60. It has been suggested that Archimedes knew the formula over two centuries earlier, and since Metrica is a collection of the mathematical knowledge available in the ancient world, it is possible that the formula predates the reference given in that work.
A formula equivalent to Heron's namely:
- , where
was discovered by the Chinese independently of the Greeks. It was published in Shushu Jiuzhang (“Mathematical Treatise in Nine Sections”), written by Qin Jiushao and published in 1247.
Read more about this topic: Heron's Formula
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