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Weekly Problem 9 - 2015

Stage: 3 and 4 Challenge Level: Challenge Level:1

Jack's teacher asked him to draw a triangle of area $7\textrm{ cm}^2$. Two sides are to be of length $6\textrm{ cm}$ and $8\textrm{ cm}$. How many possibilities are there for the length of the third side of the triangle?

This problem is taken from the UKMT Mathematical Challenges.

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