# 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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