The radius of the circle is 13, the chord is 10. Find its distance from the center.

#
A diameter perpendicular to a chord bisects it. Therefore, the square of the desired distance is $13^{2}-5^{2}=$ $12^{2}$.

![](https://cdn.mathpix.com/cropped/2024_05_06_837b6360ec703a44a031g-15.jpg?height=325&width=334&top_left_y=372&top_left_x=862)

Answer

12.