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computational inside a trapezoid (HOMC 2012 Q3)

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July 24, 2019
geometrytrapezoid

Problem Statement

Let be given a trapezoidal ABCDABCD with the based edges BC=3BC = 3 cm, DA=6DA = 6 cm (AD//BCAD // BC). Then the length of the line EFEF (EAB,FCDE \in AB , F \in CD and EF//ADEF // AD) through the common point MM of ACAC and BDBD is
(A) 3,53,5 cm (B): 44 cm (C) 4,54,5 cm (D) 55 cm (E) None of the above