As shown in the figure RT △ ABC, ab = AC = 1, make an ellipse with point C as a focus, so that the other focus of the ellipse is on the edge of AB, and the ellipse passes through two points a and B, then the focal length of the ellipse is______ .

As shown in the figure RT △ ABC, ab = AC = 1, make an ellipse with point C as a focus, so that the other focus of the ellipse is on the edge of AB, and the ellipse passes through two points a and B, then the focal length of the ellipse is______ .

Analysis: let another focus be D, ∵ RT △ ABC, ab = AC = 1, ∵ BC = 2 ∵ AC + ad = 2A, AC + AB + BC = 1 + 1 + 2 = 4A, ∵ a = 2 + 24, and ∵ AC = 1, ∵ ad = 22. In RT △ ACD, focal length CD = ac2 + ad2 = 62