Triangular Garden Bed, Bandstand

A triangular garden bed is going to be installed near the bandstand in the Milan town square. The high school math club has designed it. It is going to have an obtuse angle, and the three sides of the triangle are whole numbers (measured in yards). The two short sides of the triangle are 3 yards and 4 yards. How long is the longest side?

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If the longest side is 5 yards or fewer, we won’t have an obtuse angle. If it’s 7 or more, we have no triangle. So it has to be 6 yards.

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