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'Weekly Problem 49 - 2010' printed from http://nrich.maths.org/

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If I place a $6$cm by $6$cm square on a triangle, I can cover up to $60$% of the triangle. If I place the triangle on the square, I can cover up to $2\over 3$ of the square. What is the area of the triangle?

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This problem is taken from the UKMT Mathematical Challenges.

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