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

Home > Shapes > Geometry
Four Congruent Circles (Posted on 2006-06-14) Difficulty: 3 of 5
Show how to construct four congruent circles, inside an acute triangle ABC, with centers A', B', C', and D' such that
  1. circle with center A' is tangent to sides AB and AC,
  2. circle with center B' is tangent to sides BC and BA,
  3. circle with center C' is tangent to sides CA and CB, and
  4. circle with center D' is externally tangent to the other three circles.

See The Solution Submitted by Bractals    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re: If this is what is meant then this is a solution | Comment 2 of 5 |
(In reply to If this is what is meant then this is a solution by Charlie)

The triangle is given and you must cunstruct the circles inside the triangle satisfying the given conditions 1-4 and the fact that the circles must be congruent (have the same radius).
  Posted by Bractals on 2006-06-14 18:33:02

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 (1)
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