Triangle And Line

Geometry Level 3

Let TT be the triangle with vertices (14,0,0)(14, 0, 0), (0,21,0)(0, 21, 0), and (0,0,42)(0, 0, 42).

Line \ell goes through the origin OO and intersects TT perpendicularly in point PP.

Determine the distance OPOP.

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