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Emily

01/03/2018 at 07:16
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A trlangle has sides of length 11 inches, 8 inches, and 6 inches. If another triangle, the measures of whose sides are in the ratio 11 to 8 to 6, is to be drawn with a perimeter of 100 inches, how long will the shortest side be? 




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    Jacob 05/03/2018 at 02:41

    Call a, b, c be sides of the triangle, we have

    \(\dfrac{a}{11}=\dfrac{b}{8}=\dfrac{c}{6}=\dfrac{a+b+c}{11+8+6}=\dfrac{100}{25}=4\)

    => a = 44, b = 32, c = 24


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