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.

Question

3 years ago

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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:

(16)() = ()(8)

Solve for VT:

VT =

Mathematics