CK-12 Geometry-Concepts

9.9. Segments from Chords http://www.ck12.org

Example A

Findxin the diagram below.

Use the ratio from the Intersecting Chords Theorem. The product of the segments of one chord is equal to the
product of the segments of the other.

12 · 8 = 10 ·x

96 = 10 x

9. 6 =x

Example B

Findxin the diagram below.

Use the ratio from the Intersecting Chords Theorem. The product of the segments of one chord is equal to the
product of the segments of the other.

x· 15 = 5 · 9

15 x= 45

x= 3

Example C

Solve forx.

a)