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Reinventing Heron

Karl-Dieter Crisman and Mike Veatch
The College Mathematics Journal
Vol. 45, No. 3 (May 2014), pp. 191-197
DOI: 10.4169/college.math.j.45.3.191
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Page Count: 7
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Reinventing Heron
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Summary Heron’s formula gives the area of a triangle from the side lengths alone. Normally, this theorem is motivated by geometry or trigonometry. But how might calculus-style approximation lead us to such a formula? Here, we examine this idea, as well as the potential accuracy of such approximations.

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