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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.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Problem 97. Similar Triangles, Areas
.
RELATED LINKS
Area
(
Wolfram
MathWorld
)
Parallel
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
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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