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

Question

asked Jan 3, 2018 132k views

2 Answers

Chandre Gowda · Answer 1 · 2018-01-09T07:38:15+0000

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
$3\ units$