Problem
of the
Week

 
PROBLEM 198

The three black lines intersect at the common point O and form 60° angles with each other, see the figure on the left.  Draw any line in the plane not containing the point of intersection O. This line intersects the black lines at the points A, B, C.  Given any two of the lengths OA, OB, OC, how do you find the third?

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ã2004 Alberto L. Delgado