10765
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Sums of Squares of Segments Created by a Pedal Triangle
The triangle formed by projecting a point onto the sides of a triangle or their extensions is a pedal triangle.
Let ABC be a triangle, P a point, and A'B'C' the corresponding pedal triangle. Then
.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Pedal Triangle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Sums of Squares of Segments Created by a Pedal Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SumsOfSquaresOfSegmentsCreatedByAPedalTriangle/
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
The Third Pedal Triangle of a Triangle
Jay Warendorff
Euler's Theorem for Pedal Triangles
Jay Warendorff
The Area of the Pedal Triangle of the Centroid
Jay Warendorff
Pedal Triangles of Isogonal Conjugates
Jay Warendorff
A Concurrency from Six Pedal Points
Jay Warendorff
Line Segments through the Vertices and the Circumcenter of an Acute Triangle
Jay Warendorff
The Perpendicular Bisectors of a Triangle
Jay Warendorff
Six Incircles in an Equilateral Triangle
Jay Warendorff
Perpendiculars from the Midpoints of the Orthic Triangle
Jay Warendorff
Circumradii Perpendicular to the Sides of the Orthic Triangle
Jay Warendorff
Related Topics
Plane Geometry
Triangles
Browse all topics
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+