AMC 10 2021b Problem 14

Three equally spaced parallel lines intersect a circle, creating three chords of lengths $38,38,$ and $34$. What is the distance between two adjacent parallel lines? $\textbf{(A) }5\frac12 \textbf{(B) }6 \textbf{(C) }6\frac12 \textbf{(D) }7 \textbf{(E) }7\frac12$