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PUZZLET 112

A Truncated Triangle

The top of an isosceles triangle has been cut off, with the cutting line in parallel with the triangle's base. The length of the cut is 5 cm. The length of the remainder's sloping side is 10 cm. The total area of the two parts is exactly 80 cm².

To five decimal places of accuracy, what is the triangle's base angle?

triangle

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Last Updated: January 14th, 2010.