Question

In the diagram, if WA = 6, AX = 5, and YA = 10, then the length of Y Z is

Answer 1

YZ = 13 units

Explanation:

By intersecting chords theorem in a circle,

YA × AZ = WA × AX

By substituting the values of each segment in the formula,

10 × AZ = 6 × 5

AZ =
`(30)/(10)`

AZ = 3 units

Therefore, YZ = AZ + AY

YZ = 3 + 10

YZ = 13 units