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calculations in a rectangle

Source: May Olympiad (Olimpiada de Mayo) 2003 L2

September 15, 2018
geometryrectangleperpendicular

Problem Statement

Let ABCDABCD be a rectangle of sides AB=4AB = 4 and BC=3BC = 3. The perpendicular on the diagonal BDBD drawn from AA cuts BDBD at point HH. We call MM the midpoint of BHBH and NN the midpoint of CDCD. Calculate the measure of the segment MNMN.
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