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A Relation between the Areas of Four Triangles
Let ABC be a triangle. Let DEF be parallel to AC with D on AB and E on BC. Let FGH be parallel to AB with G on BC and H on AC. Then , with the plus sign when F is outside of ABC and minus when F is inside.



The statement of the theorem is in Problem 97. Similar Triangles, Areas.


"A Relation between the Areas of Four Triangles" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/ARelationBetweenTheAreasOfFourTriangles/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez
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