3

Part of 1990 India Regional Mathematical Olympiad

Problems(1)

Source: RMO 1990 Problem 3

A square sheet of paper

ABCD

is so folded that

B

falls on the mid point of

M

CD

. Prove that the crease will divide

BC

5 : 3

ratiogeometryrectangleparallelogramrhombusanalytic geometryPythagorean Theorem