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Folding...

Source: RMO 1990 Problem 3

October 14, 2005
ratiogeometryrectangleparallelogramrhombusanalytic geometryPythagorean Theorem

Problem Statement

A square sheet of paper ABCDABCD is so folded that BB falls on the mid point of MM of CDCD. Prove that the crease will divide BCBC in the ration 5:35 : 3.