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The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle


	Let ABC be an acute triangle and A'B'C' be its orthic triangle (the triangle formed by the endpoints of the altitudes of ABC). Let be the perimeter of A'B'C', be the circumradius of ABC, and be the area of ABC. Then .


	Contributed by: Jay Warendorff

Acute Triangle (Wolfram MathWorld)

Circumcircle (Wolfram MathWorld)

Circumradius (Wolfram MathWorld)

Orthic Triangle (Wolfram MathWorld)

"The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheAreaOfATriangleItsCircumradiusAndThePerimeterOfItsOrthicT/

Contributed by: Jay Warendorff

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