Answer:
4 units
Step-by-step explanation:
The complete question is
BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?
The picture of the question in the attached figure
we know that
The Intersecting Chord Theorem states that: When two chords intersect each other inside a circle,the products of their segments are equal.
do
In this problem
[tex](BY)(YD)=(AY)(YC)[/tex]
substitute the given values
[tex](3)(8)=(x)(6)[/tex]
solve for x
[tex]24=6x\\x=24/6\\x=4\ units[/tex]
therefore
The length of segment AY is 4 units
