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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
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The statement of the theorem is in
Problem 91. Similar Triangles, Altitudes, Parallel
.
RELATED LINKS
Altitude
(
Wolfram
MathWorld
)
Parallel
(
Wolfram
MathWorld
)
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"
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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