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

Home > Shapes > Geometry
Isosceles Right Triangles (Posted on 2005-10-19) Difficulty: 3 of 5
Let BAC be an arbitrary triangle with external squares ABIJ, BCKL, and CAMN. IBLP, KCNQ, and MAJR are parallelograms. Prove that PAQ, QBR, and RCP are isosceles right triangles.

See The Solution Submitted by Bractals    
Rating: 3.2500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): Parting shot | Comment 8 of 10 |
(In reply to re(2): Parting shot by McWorter)

I see from trying in Geometer's Sketchpad that in fact those triangles are congruent.  But I think it takes some steps of proof to show that those sides that are diagonals of the parallelograms are in fact equal to the sides of the original triangle that are not equal to the respective sides of the parallelograms.

Also, the orthogonality needs some steps of proof. 

I think after these are added, the whole proof could be as lengthy as the ones already offered.


  Posted by Charlie on 2005-10-27 14:04:30
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information