A circle is shown. Secants R S and R T intersect at point R outside of the circle. Secant R S intersects the circle at point U.
Secant R T intersects the circle at point V. The length of R U is 6, the length of U S is 10, and the length of R V is 8. If secant segments SR and TR intersect at point R, find the length of VT.
Start by relating the secants and segments theorem to this diagram:
(RS)() = ()(RV)
Substitute values from the diagram into the equation: