In a circle, chords AB and CD meet at point P. Find the length of the segment DP if AP = 9, BP = 4, CP = 3

By the condition of the problem, these two chords intersect at one point – point P.
Two chords that intersect at one point have the following property.
Let’s write it down for our data:
AP * BP = CP * DP
9 * 4 = 3 * DP
DP = 36/3 = 12.
Answer: DP has a length of 12.

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