2006 Canadian MO Problems/Problem 2

Problem

Let $ABC$ be an acute angled triangle. Inscribe a rectangle $DEFG$ in this triangle so that $D$ is on $AB$ , $E$ on $AC$ , and $F$ and $G$ on $BC$ . Describe the locus of the intersections of the diagonals of all possible rectangles $DEFG$ .

Solution

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2006 Canadian MO

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2006 Canadian MO Problems/Problem 2

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