Question

two parallel chord lie in opposite sides of the centre of a circle of radius 13cm. their lengths are 10cm and 24cm.what is the distance between the chord.

Answer 1

Draw radii bisecting both chords.
Draw radii to the ends of the chords.

Now you have right triangles with the hypotenuse equal to the radius.

All the triangles are 5-12-13

So, do the math...

Answer 2

13 cm