AoPSWiki

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.

Personal tools

Search

Toolbox

2001 IMO Shortlist Problems/G8

From AoPSWiki

Revision as of 22:51, 20 August 2008 by Minsoens (Talk | contribs)

(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)

Problem

Let $ABC$ be a triangle with $\angle BAC = 60^{\circ}$ . Let $AP$ bisect $\angle BAC$ and let $BQ$ bisect $\angle ABC$ , with $P$ on $BC$ and $Q$ on $AC$ . If $AB + BP = AQ + QB$ , what are the angles of the triangle?

Solution

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

Resources

Retrieved from "http://www.artofproblemsolving.com/Wiki/index.php/2001_IMO_Shortlist_Problems/G8"

Categories: Problems with no solution | Olympiad Geometry Problems

Our Precalculus course starts on Dec. 4. Master trig, complex numbers, and vectors and matrices in 2 and 3 dimensions. Click here to enroll today!

© Copyright 2008 AoPS Incorporated. All Rights Reserved. • Foundation • Privacy • Contact Us