Posted by **c** on Thursday, February 28, 2013 at 6:22pm.

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?

- geometry -
**Reiny**, Thursday, February 28, 2013 at 9:16pm
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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