MathDB
M is the midpoint of the side BC of a triangle ABC

Source: INMO 2005 Problem 1

August 23, 2005
geometryratiogeometry unsolvedINMO

Problem Statement

Let MM be the midpoint of side BCBC of a triangle ABCABC. Let the median AMAM intersect the incircle of ABCABC at KK and L,KL,K being nearer to AA than LL. If AK=KL=LMAK = KL = LM, prove that the sides of triangle ABCABC are in the ratio 5:10:135 : 10 : 13 in some order.
Back to ProblemsView on AoPS