# Heron's formula and Pythagoras

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Begin with a right triangle with sides: a, b, and hypotenuse c.

Determine the area two ways:

Heron's Formula & A = (½)ab

Equate and manipulate these equations to end up with the Pythagorean Theorem.

i) Let the sides of a triangle have lengths a, b, and c. The semiperimeter is p = (a + b + c) / 2 and let A be the area. Heron's ...

#### Solution Summary

This problem relates Heron's formula with the Pythagorean theorem.

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