A Relation between the Areas of Four Triangles
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.
area(ABC)
=area(DBE)
±area(FGE)
+area(HGC)