10182
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
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
)
PERMANENT CITATION
"
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Circumradii Perpendicular to the Sides of the Orthic Triangle
Jay Warendorff
The Ratio of a Side of a Triangle to the Corresponding Side of the Orthic Triangle
Jay Warendorff
Perpendiculars from the Midpoints of the Orthic Triangle
Jay Warendorff
Bisectors of the Angles of the Orthic Triangle
Jay Warendorff
The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle
Jay Warendorff
The Product of the Perpendiculars to the Sides of a Triangle
Jay Warendorff
Contact Triangles of a Triangle
Jay Warendorff
The Third Pedal Triangle of a Triangle
Jay Warendorff
A Triangle Formed by the Centers of Three Circles
Jay Warendorff
The Extouch and Intouch Triangles of a Triangle
Jay Warendorff
Related Topics
Plane Geometry
Triangles
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-SRT.A.2
HSG-SRT.A.3
HSG-SRT.B.4
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+