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Intersection of an Altitude and a Line through the Incenter
Let ABC be a triangle with incenter I and inradius
. Let M be the midpoint of BC, H the foot of the altitude drawn from A, and E the intersection of MI with AH. Then
.
Contributed by:
Jay Warendorff
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See problem 5.7 in V. Prasolov,
Problems in Plane and Solid Geometry
, Vol. 1,
Plane Geometry
[PDF], (D. Leites, ed. and trans.).
RELATED LINKS
Incenter
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
Midpoint
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Intersection of an Altitude and a Line through the Incenter
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/IntersectionOfAnAltitudeAndALineThroughTheIncenter/
Contributed by:
Jay Warendorff
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