Two parallel chords lie on opposite sides of the centre of a circle of radius 13cm Their length are 16cm and 24cm. What is the distance between the chords

Did you make a diagram?

Use: The perpendicular from the centre to a chord bisects the chord
Join the ends of the chord to the centre, you now have right-angled
triangles where you know two of the sides for each.

Does Pythagoras ring a bell ??