Ant problem!

Geometry Level 4

An ant, located in a square field, is \(13\text{ m}\) from one of the corner posts of the field, \(17\text{ m}\) from the corner post diagonally opposite to the first one, and \(20 \text{ m}\) from a third corner post. Assuming the land is flat, find the area of the field (in \(\text{m}^2\)).

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