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

 Four Coin Theorem (Posted on 2013-03-17)
Three congruent circles G1, G2, G3 have a common point P.
Further, define
G2 intersect G3={A, P},
G3 intersect G1={B, P},
G1 intersect G2={C, P}.

(1) Prove that the point P is the orthocenter of triangle ABC.
(2) Prove that the circumcircle of triangle ABC is congruent to the given circles G1, G2, G3.

 No Solution Yet Submitted by Danish Ahmed Khan No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 2 only | Comment 1 of 2

(2) is not too hard once it is grasped that triangle ABC is congruent to triangle G1G2G3.

Since the triangles are congruent, so are their circumcircles.

 Posted by broll on 2013-03-18 02:22:45
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 (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

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