olymmath

TH-TMO 2004 Problem 20

    Two pillars of height aa and bb are erected perpendicular to the ground. On each pillar, a straight cable is placed connecting the top of the pillar to the base of the other pillar; the two lines of cable intersect at a point above ground. What is the height of this point?

    Dataset text AI-MO AoPS. Quoted with source.

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