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28 November, 08:02

Perimeter of one triangle is 5 8 of the perimeter of a similar triangle. The difference of the lengths of two corresponding sides is 9m. What are the lengths of these sides?

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  1. 28 November, 09:28
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    The side lengths are 15 m and 24 m

    Step-by-step explanation:

    I like to work these in terms of "ratio units" and what they stand for.

    If the ratio of side lengths is 5 : 8, the difference in ratio units is 8-5 = 3. That difference of 3 ratio units stands for a difference in actual side lengths of 9 m, so each ratio unit must represent 3 m.

    Then the triangle sides are ...

    5· (3 m) = 15 m

    8· (3 m) = 24 m
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