# geometry

triangle abc is similar to def, the lengths of the sides of triangle abc is 5,8,11. what is the length of the shortest side of triangle def if its perimeter is 60?

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1. If similar, then their sides are in the same ratio, so ..

let the sides of triangle DEF be
5x , 8x, and 11x

5x + 8x + 11x = 60
24x = 60
x = 60/24 = 2.5

so the shortest side is 5x = 5(2.5) = 12.5

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