Answer:
FD = 26
Explanation:
CD = ED --- (secant property)
so, ==>>
13x - 16 = 4x + 11
13x - 4x = 11 + 16
9x = 27
x = 27÷9
x = 3
side ED = 4x + 11 = 4×3 + 11
side ED = 23
side FE = 12
ΔFED = 90° ...... (tangent secant property)
so.........
FE² + ED² = FD² ......... ( by pythagoras theorm)
12² + 23² = FD²
144 + 529 = FD²
673 = FD²
√673 = FD
26 = FD