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MathNet 2013 Question 25

Math Olympiad Vault · MathNet 2013

Question 25

The quadrilateral $ABCD$ in the figure has three angles equal to $45^\circ$, at vertices $A$, $B$ and $C$. ($ABCD$ is not convex). It is allowed to measure the length of exactly one line segment in the figure. Find the area of the quadrilateral.

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