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

Home > Shapes > Geometry
Five out of one (Posted on 2011-09-06) Difficulty: 2 of 5
A certain triangle ABC can be divided into 5 triangles each similar to ABC.
What are the angles A,B,C and how is the triangle divided?

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts An Obtuse Answer | Comment 2 of 3 |
A 30-30-120 triangle can be divided into 5 smaller similar triangles as follows: Let BC be the long side.  Trisect BC with points D and E.  This yields obtuse triangles ABD and ACE similar to ABC and an equilateral triangle ADE.  Let F be the center of the equilateral triangle. Then ADF, AEF, and DEF are all obtuse triangles similar to ABC.
  Posted by Brian Smith on 2011-09-06 14:30:24
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 (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

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