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The Triangles Cut Off by the Sides of the Orthic Triangle
Let ABC be a triangle. The triangle formed by the endpoints of the altitudes is called the orthic triangle of ABC.
The triangles cut off by the sides of the orthic triangle are similar to the original triangle.
Contributed by:
Jay Warendorff
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See theorem 184 in N. Altshiller-Court,
College Geometry
, Mineola, NY: Dover, 2007 p. 97.
RELATED LINKS
Orthic Triangle
(
Wolfram
MathWorld
)
Similar Triangles
(
Wolfram
MathWorld
)
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"
The Triangles Cut Off by the Sides of the Orthic Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheTrianglesCutOffByTheSidesOfTheOrthicTriangle/
Contributed by:
Jay Warendorff
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Related Topics
Plane Geometry
Triangles
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-SRT.A.2
HSG-SRT.A.3
HSG-SRT.B.4
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