Proof Herons Formula
This side has length a this side has length b and that side has length c. And i only know the lengths of the sides of the triangle.
Where b is the length of a base and h is the height to that base.
Proof herons formula. So for future reference. It has to be that way because of the pythagorean theorem. Although this seems to be a bit tricky in fact it is it might come in handy when we have to find the area of a. There is my triangle right there. The formula is as follows. The proof shows that herons formula is not some new and special property of triangles. And im asked to find the area of that triangle. Herons formula for area of triangle how to prove herons formula of finding area of the triangle. It can be applied to any shape of triangle as long as we know its three side lengths. Lets say ive got a triangle. Herons formula can be obtained from brahmaguptas formula or bretschneiders formula by setting one of the sides of the quadrilateral to zero. Herons formula is a formula that can be used to find the area of a triangle when given its three side lengths. This proof needs more steps and better explanation to be understandable by people new to algebra. The formula is credited to heron of alexandria and a proof can be found in his book metrica written c. Herons formula an algebraic proof.
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