The foci of a certain ellipse are at \((3,10 + \sqrt{105})\) and \((3,10 - \sqrt{105})\) The endpoints of one of the axes are (-5, 10) and (11, 10) Find the semi-major axis.

Thank you in advance!!!

The semi-major axis is 20.

Guest, will you show your reasoning? I've gotten the center of the ellipse is (3, 10), but dont know how to proceed.

Nvm, I think I got it. We can just use the formula a=sqrt(b^2+c^2) where b=8 and c=sqrt(105)