Question

Tangent wz and secant WV intersect at point W. Find the length of YV If necessary, round to the hundredths place.

A 2.67
B5
с.9
D. 10

Answer 1

Option B.
`YV=5\ units`

Explanation:

we know that

The Intersecting Secant-Tangent Theorem, states that If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment

so

In this problem

`WZ^(2)=WV*WY`

substitute and solve for WV

`6^(2)=WV*4`

`WV=36/4=9\ units`

we have that

`WV=WY+YV`

substitute

`9=4+YV`

`YV=9-4=5\ units`