A circle R has a radius of length 5 sqrt 3 and has a chord XY that is 5 units from R. Find the length of XY.$

Answer 1

Draw a diagram. If half the chord has length x, you have a right triangle.

5^2+x^2 = (5√3)^2
x^2+25=75
x^2=50
x = 5√2

So, XY = 10√2

Answer 2

Thanks Steve. You're the best!