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29 April, 13:07

Triangle DEF is similar to triangle PQR. Side DE measures 3, side EF measures 7 and side FD measures 9. Side PQ measures 5x - 25 and side QR measures 6x + 4. Find the value of x

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  1. 29 April, 13:10
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    For this problem, we can set up a proportion using similarity ratios. We know that triangle DEF is similar to triangle PQR, so we know that DE/PQ = EF/QR = FD/RP:

    DE/PQ = EF/QR

    3 / (5x - 25) = 7 / (6x + 4)

    Cross multiplying, we get:

    7 (5x - 25) = 3 (6x + 4)

    35x - 175 = 18x + 12

    Now, we can solve for x:

    35x - 18x = 12 + 175

    17x = 187

    x = 11

    So, x is 11.
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