geometry

Two secant segments are drawn to a circle from a point outside the circle. The external segment of the first secant segment is 8 centimeters and its internal segment is 6 centimeters. If the entire length of the second secant segment is 28 centimeters, what is the length of its external segment?

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  1. let the outer segment of the 2nd secant be x
    then the inner segment is 28-x

    8/6 = x/(28-x)
    6x = 224 - 8x
    14x = 224
    x = 16

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