9514 1404 393
Answer:
x = 5
FD = 22
Explanation:
The products of the segment lengths on the same chord are the same.
8×15 = 12×(3x -5)
10 = 3x -5 . . . . . . . divide by 12 (we use this value to find FD)
15 = 3x
5 = x
__
FD = (3x -5) +12 = 10 +12
FD = 22