Problem

Problem of the Day #29 (Challenge)

POTD Challenge December 18, 2023
Author: awesomeming327

The ellipse with foci $A$ and $B$ passing through $C$ , the ellipse with foci $B$ and $C$ passing through $A$ , and the ellipse with foci $C$ and $A$ passing through $B$ concur. If $AB = 4$ , $BC = 7$ , find the sum of all possible values of $AC^2$ .

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Problem Tags: 2-d Geometry

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Category: Problem of the Day
Points: 6
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