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'Weekly Problem 49 - 2010' printed from

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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?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

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