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MathNet 2012 Question 29

Math Olympiad Vault · MathNet 2012

Question 29

A point $E$ is located on the side $DA$ of a quadrilateral $ABCD$ in such a way that the lines $AB$ and $EC$ are parallel. If $AB = 3$, $BC = 3$, $CD = 5$, $DE = 3$ and $EA = 2$, determine $EC$.
Here we denote for a line segment $XY$ its length also be $XY$.
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