bd and ac are chords that intersect at point y. what is the length of line segment ay? 2 units 3 units 4…

bd and ac are chords that intersect at point y. what is the length of line segment ay? 2 units 3 units 4 units 6 units

bd and ac are chords that intersect at point y. what is the length of line segment ay? 2 units 3 units 4 units 6 units

Answer

Explanation:

Step1: Apply the intersecting - chords theorem

When two chords (AC) and (BD) intersect inside a circle at a point (Y), then (AY\times YC = BY\times YD). Let (AY = x), (YC = 6), (BY = 3), and (YD = 8). So we have the equation (x\times6=3\times8).

Step2: Solve the equation for (x)

The equation (6x = 24). Divide both sides of the equation by 6: (x=\frac{24}{6}).

Answer:

4 units