In the circle, the chords AB and CD intersect at point K. Find the length of the segment AK if CK = 9 cm, DK = 6 cm, BK = 12 cm.

if two chords intersect at one point M, then their products will be equal.
let AK = x, we compose the equation
12x = 9 * 6
12x = 54
x = 4.5 cm = AK
answer: 4.5 cm



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