9514 1404 393
Answer:
AD = 15
Explanation:
The products of the segment lengths are the same.
(x -2)(x +7) = 4(2x -1)
x^2 +5x -14 = 8x -4
x^2 -3x -10 = 0
(x -5)(x +2) = 0
The positive solution is x=5.
Chord AD is ...
(x -2) +(x +7) = 2x +5 = 2(5) +5 = 15
Chord AD is 15 units long.