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.
THINGS TO TRY
the Wolfram Demonstrations Project
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
A 2011 IMO Tangency Problem
Boltyanski's Cake Problem
The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle
1992 CMO Problem: Cocircular Orthocenters
Altitudes and Incircles
Problems on Circles III: Apollonius's Problem
The Facilities Location Problem
Tim Neuman and Stan Wagon
An IMO Problem Involving Concurrency
Perpendiculars from the Midpoints of the Orthic Triangle
Line Segments through the Vertices and the Circumcenter of an Acute Triangle
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2016 Wolfram Demonstrations Project & Contributors |
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