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?

Answer 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