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Altitudes and Incircles


	Let ABC be an acute triangle with altitudes AA', BB', and CC'. The sum of the altitudes is equal to the sum of the semiperimeter and the radii of the six incircles of the triangles XYZ formed by the altitudes and the sides: .


	Contributed by: Jay Warendorff

Altitude (Wolfram MathWorld)

Acute Triangle (Wolfram MathWorld)

Incircle (Wolfram MathWorld)

Inradius (Wolfram MathWorld)

"Altitudes and Incircles" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AltitudesAndIncircles/

Contributed by: Jay Warendorff

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