9887
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Fagnano's Problem
Let ABC be an acute triangle. Let D, E, and F be the points where the altitudes from A, B, and C intersect the sides of the triangle. Then DEF is the inscribed triangle of smallest perimeter.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Acute Triangle
(
Wolfram
MathWorld
)
Altitude
(
Wolfram
MathWorld
)
Fagnano's Problem
(
Wolfram
MathWorld
)
Orthic Triangle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Fagnano's Problem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FagnanosProblem/
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
A 2011 IMO Tangency Problem
Jay Warendorff
Boltyanski's Cake Problem
Mikhail Skopenkov
The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle
Jay Warendorff
1992 CMO Problem: Cocircular Orthocenters
Shenghui Yang
Altitudes and Incircles
Jay Warendorff
Problems on Circles III: Apollonius's Problem
Jaime Rangel-Mondragon
The Facilities Location Problem
Tim Neuman and Stan Wagon
An IMO Problem Involving Concurrency
Jay Warendorff
Perpendiculars from the Midpoints of the Orthic Triangle
Jay Warendorff
Line Segments through the Vertices and the Circumcenter of an Acute Triangle
Jay Warendorff
Related Topics
Plane Geometry
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+