1988 USAMO Problems/Problem 4

Revision as of 15:58, 15 May 2012 by 1=2 (talk | contribs) (Created page with "==Problem== <math>\Delta ABC</math> is a triangle with incenter <math>I</math>. Show that the circumcenters of <math>\Delta IAB</math>, <math>\Delta IBC</math>, and <math>\Delta ...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

$\Delta ABC$ is a triangle with incenter $I$. Show that the circumcenters of $\Delta IAB$, $\Delta IBC$, and $\Delta ICA$ lie on a circle whose center is the circumcenter of $\Delta ABC$.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

1988 USAMO (ProblemsResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5
All USAMO Problems and Solutions