geometry
posted by Rachel on .
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?

let the outer segment of the 2nd secant be x
then the inner segment is 28x
8/6 = x/(28x)
6x = 224  8x
14x = 224
x = 16