Is it correct to check the intersection of circles using the Pythagorean theorem?

Question

Mathematics

If the hypotenuse is less than or equal to the sum of the radii, then the circles intersect or touch.
Is it correct. Or is it checked in some other way?
Don't drink too much. I graduated from school 15 years ago :) Yes, and mathematics was not a favorite :(

Answer 1

Yes.

Answer 2

What is the hypotenuse? What is the Pythagorean theorem? Maybe this was meant:
> If the distance between the centers of the circles is less than or equal to the sum of the radii, then the circles intersect or touch.
But even in this formulation, no. One circle can lie completely inside another.

Answer 3

you have two vectors (centers of circles), subtract one from the other, find the length of the resulting vector, compare with the sum of the radii of the circles.