Question

What is the theorem for this equation and how do I work through it?

Answer 1

Segments HR and HY are secants to the circle from the same point, so the products of the lengths of each secant with its external segment are equal. That is, RH times TH = YH times KH. Substituting values in gives you the equation 32 (2x - 4) = 16 (3x + 1) and solving gives you x = 9