All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Three Ways to Put a Square in a Triangle (Posted on 2016-02-26) Difficulty: 3 of 5
Every triangle has a square which is the maximum size square which can be inscribed in the triangle. For most triangles there is only one way to do so. For an equilateral triangle there are three ways to inscribe the square - one for each side.

The equilateral is not the only triangle with that property; there is one other triangle whose maximum inscribed square can be placed on all three sides. Determine the dimensions of that triangle! (Assume the shortest edge is 1 unit.)

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): My solution Comment 8 of 8 |
(In reply to re: My solution by broll)

I was only being generous to myself.  I filled quite a few sheets of paper with perspiration before sleeping on the problem.  The inspiration came while I was asleep.

And I still had a lot of work to do this morning. 

In retrospect this is a great D4 problem.

  Posted by Jer on 2016-02-27 22:35:46

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information