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Line Segments through the Vertices and the Circumcenter of an Acute Triangle
Let ABC be an acute triangle, O its circumcenter, and R its circumradius. Let D, E, and F be the points along AO, BO, and CO across from A, B, and C. Then
.
Contributed by:
Jay Warendorff
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See the
First Iberoamerican Olympiad
(problem 6).
RELATED LINKS
Acute Triangle
(
Wolfram
MathWorld
)
Circumcenter
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Line Segments through the Vertices and the Circumcenter of an Acute Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LineSegmentsThroughTheVerticesAndTheCircumcenterOfAnAcuteTri/
Contributed by:
Jay Warendorff
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