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In ABC, mB > mC and mC > mA. Which side of ABC is longest?

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    The lengths of the sides of a triangle are 6, 8, and 12. If the length of the shortest side of a similar triangle is 10, what is the length of its longest side?

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    The lengths of corresponding sides of the two similar triangles are in a ratio 10/6 = 5/3.

    For the larger triangle, the langest side length is therefore (5/3)x12 = 20

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