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22 February, 08:36

Triangle ABC and Triangle DEF are similar. For triangle ABC, AB = 2x, AC = 24 inches and BC = 20. For triangle DEF, EF = 5 and DF = x - 2. What is the value of x?

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  1. 22 February, 09:03
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    X=8.

    Following the similarity statement, we know that AC is to DF as BC is to EF. The ratio would be:

    24 / (x-2) = 20/5

    Cross multiply:

    24*5 = 20 (x-2)

    Use the distributive property:

    120 = 20x - 40

    Add 40 to both sides:

    120+40 = 20x - 40 + 40

    160 = 20x

    Divide both sides by 20:

    160/20 = 20x/20

    8 = x
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