The Product of the Side Lengths of a Triangle


	Let the circumradius of a triangle ABC be R. Then .
	Let the circumradius of a triangle ABC be R. Then .

	Contributed by: Jay Warendorff After work by: Alexander Bogomolny

A. Bogomolny, "Relations between Various Elements of a Triangle," Interactive Mathematics Miscellany and Puzzles.

Circumcircle (Wolfram MathWorld)

Circumradius (Wolfram MathWorld)

"The Product of the Side Lengths of a Triangle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheProductOfTheSideLengthsOfATriangle/

Contributed by: Jay Warendorff

After work by: Alexander Bogomolny

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Area
Plane Geometry
Triangles

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Two Triangles of Equal Area on Either Side of an Angle Bisector
The Product of the Inradius and Three Exradii
The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle
The Area of the Excentral Triangle
The Excentral Triangle and a Related Hexagon
Area of a Hexagon Formed by the Vertices and Altitude Extensions of a Triangle
Largest Isosceles Triangle Inscribed in a Circle
The Area of the Contact Triangle
The Area of a Triangle as Half a Rectangle

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