Chords AB and CD intersect at point P inside a circle. P is the midpoint of chord AB. CP=8 and DP=18. Find AB

Answer 1

Two chords intersecting in a circle the product of the segments of one chord equal the product of the segments of the other chord.

So AP * PB = CP * PD

Since P is the midpoint of AB then we can say AP = PB = x. CP and PD are given.

x * x = 8 * 18

x^2 = 144

x = 12

AB = 12