Question

UV and RV are secant segments that intersect at point V.

What is the length of TV?
1 unit
1 2/3 units
2 1/2 units
3 units

Answer 1

The correct answer is D) 3 units

Answer 2

we know that

The Intersecting Secant Theorem states that when two secant lines intersect each other outside a circle, the products of their segments are equal

so

in this problem

`TV*UV=SV*RV`

we have

`TV=a\ units\\UV=12\ units\\SV=4\ units\\RV=9\ units`

substitute the values and solve for a

`a*12=4*9`

`a=36/12=3\ units`

therefore

the answer is

The length of TV is
`3\ units`