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A Relation between Altitudes of Four Triangles


	Let ABC be a triangle and DEF be parallel to AC and FGM be parallel to AB. Let AH, DN, FP, and MQ be altitudes in triangles ABC, DBE, FEG, and MGC respectively. Then with the plus sign when F is outside of ABC and minus when F is inside.


	Contributed by: Jay Warendorff After work by: Antonio Gutierrez

The statement of the theorem is in Problem 91. Similar Triangles, Altitudes, Parallel.

Altitude (Wolfram MathWorld)

Parallel (Wolfram MathWorld)

"A Relation between Altitudes of Four Triangles" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ARelationBetweenAltitudesOfFourTriangles/

Contributed by: Jay Warendorff

After work by: Antonio Gutierrez

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