Triangle and Coordinate Geometry

Geometry Level 3

The line segment connecting the points (12, \(c\)) and (6, \(d\)) forms the hypotenuse of a right triangle with its third vertex at the origin. If the leg from the origin to (12, \(c\)) is three times as long as the leg drawn from the origin to (6, \(d\)), what is the value of \(|c|\)?

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