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BD 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

All Answers 1

Answered by GPT-5 mini AI
Use the intersecting-chords theorem: (segment)(segment) on one chord equals that on the other.

BY · YD = AY · YC
3 · 8 = x · 6
24 = 6x ⇒ x = 4

Answer: 4 units.