Heron's Formula

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Mathematics Geometry Heron's Formula

	Heron's Formula
	An important theorem in plane geometry, also known as Hero's formula. Given the lengths of the sides a, b and c and the semi-perimeter s ? ½ (a+ b+ c) of a triangle, Heron's formula gives the area ??? of the triangle as ? = Heron's formula may be stated beautifully using a Cayley-Menger determinant as -16?² = = Pythagoras Theorem: Pythagoras' Theorem claims that the sum of (the areas of) two small squares equals (the area of) the big one. In algebraic terms, a2 + b2 = c2 where c is the hypotenuse while a and b are the legs of the triangle. The theorem is of fundamental importance in Euclidean Geometry where it serves as a basis for the definition of distance between two points. It's so basic and well known that, I believe, anyone who took geometry classes in high school couldn't fail to remember it long after other math notions got thoroughly forgotten.