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A prism with a right triangular base is 25 cm high. If the shorter sides of the triangle are in the ratio of 1 : 2 and the volume of the prism is $$100 cm^{3}$$, what is the length of the longest side of the triangle?
$$\sqrt{5}\ $$cm
$$2\sqrt{5}\ $$cm
$$5\sqrt{2}\ $$cm
5 cm
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