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Math Help - Triangle problem

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    Triangle problem

    The lengths of the sides of a triangle are 3, 8, and 9 inches. How many inches long is the shortest side of a similar triangle that has perimeter of 60 inches?

    Not sure why the answer is 9...??
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    Quote Originally Posted by sarahh View Post
    The lengths of the sides of a triangle are 3, 8, and 9 inches. How many inches long is the shortest side of a similar triangle that has perimeter of 60 inches? Not sure why the answer is 9...??
    You might note that 3+8+9=20 and 3(20)=60. So the ‘scale’ is 3.
    If S, M, L stand for small, middle, and large the in the larger similar triangle we would have \frac{S}{3} = \frac{M}{8} = \frac{L}{9}\,\& \,S + M + L = 60.
    Solving for S we get S=9.
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