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25 June, 21:09

The ratio of the lengths of a triangle are 4:6:9 and its perimeter is 57cm. Find the length of the shortest side.

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  1. 25 June, 22:47
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    Answer:12cm

    Step-by-step explanation:

    The ratio are:

    4:6:9

    Perimeter=57cm

    Let a be the unknown value.

    The triangle has three sides: 4a, 6a, 9a

    Perimeter=The sum of three sides

    57=4a + 6a + 9a

    57=19a

    Divide both side by 19

    a=57/19

    a=3

    Therefore

    4a:6a:9a

    4*3:6*3:9*3

    12:18:27

    So the shortest side is 12cm
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