Two parallel chords in a circle have lengths 18 and 14, and the distance between them is 8. Find the length of the chord parallel to these chords and midway between them. (The diagram is not drawn to scale.)https://ibb.co/hd0ppn6
Does this help?
https://artofproblemsolving.com/wiki/index.php/1995_AHSME_Problems/Problem_28
Nope, I've tried but nope...
The distance between the chords is 8.
Solution as follows:
Note that O is the centre of the circle.