Question

D and AC are chords that intersect at point Y. A circle is shown. Chords B C 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? 2 units 3 units 4 units 6 units

Answer 1

Answer:

4 units

Step-by-step explanation:

see attachment for the missing figure.

to find the value of AY or x

We'll use intersecting chord theorem i.e  the product of line segment of each chord are equal.

From the figure, we can say that:

BY x YD = AY x YC

$BY \times YD = AY \times YC\\3\times 8=x\times 6\\24=6x\\x=\frac{24}{6}\\x=4$

Therefore,  AY = 4 units