1960 IMO Problem 7

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  • Vinuthan S

    1960 IMO Problem 7


    An isosceles trapezoid with bases $a$ and $c$ and altitude h is given.

    a) On the axis of symmetry of this trapezoid, find all points P such that both legs of the trapezoid subtend right angles at P;

    b) Calculate the distance of p from either base;

    c) Determine under what conditions such points P actually exist. Discuss various cases that might arise.


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