http://www.ck12.org Chapter 9. Circles
Theorem 9-14:If two chords intersect inside a circle so that one is divided into segments of lengthaandband the
other into segments of lengthcanddthenab=cd.
The product of the segments of one chord is equal to the product of segments of the second chord.
Example 1:Findxin each diagram below.
a)
b)
Solution:Use the ratio from Theorem 9-13. The product of the segments of one chord is equal to the product of the
segments of the other.
a) 12· 8 = 10 ·x
96 = 10 x
9. 6 =x
b)x· 15 = 5 · 9
15 x= 45
x= 3
Example 2:Algebra ConnectionSolve forx.
a)