Please help Explain how I figure this out.

A circle has diameter 70cm.
A chord in the circle is 50cm long.
How far is the chord from the center of the circle?

I have been stuck on this for days. I appreciate any help. Thank you!!

2 answers

draw a diameter through the center of the chord.

draw a radius to the end of the chord.

now, the distance d from the chord to the center can be found using

d^2 + 25^2 = 35^2
34