conics

[DarkAnt]

"A line segment through a focus with endpoints on the ellipse and perpendicular to the major axis is a latus rectum of the ellipse. Therefore, an ellipse has two latus recta. Show that the length of each latus rectum is 2b^2/a."

I've been stuck on this for a little while now. Can anyone point me in the right direction?

[On Radioactive Waves]

Draw an ellipse, show the relationships of A and B, do a little trig....

[himanshu121]

Substitute x = ae find y coordinate 2y will be the length of rectum

[DarkAnt]

Thank you [:)]