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# Finding the semi major axis on an ellipse

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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.

Sep 6, 2020

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The semi-major axis is 20.

Sep 6, 2020
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Guest, will you show your reasoning? I've gotten the center of the ellipse is (3, 10),  but dont know how to proceed.

Sep 6, 2020
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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)

Sep 6, 2020