MathDB
Find the perimeter

Source: INMO 1999 Problem 1

October 7, 2005
geometryperimetertrigonometryratioangle bisectorgeometry unsolved

Problem Statement

Let ABCABC be an acute-angled triangle in which D,E,FD,E,F are points on BC,CA,ABBC,CA,AB respectively such that AD⊥BCAD \perp BC;AE=BCAE = BC; and CFCF bisects ∠C\angle C internally, Suppose CFCF meets ADAD and DEDE in MM and NN respectively. If FMFM=2= 2, MN=1MN =1, NC=3NC=3, find the perimeter of ΔABC\Delta ABC.
Back to ProblemsView on AoPS