of the
Week
|
Problem
of the Week |
In the figure on the left the triangle ABC is isosceles with
| AB | = | BC |. Suppose that
AX bisects the angle BAC with X the point of
intersection of the angle bisector and the side BC.
Let's fix | OC | = 1. Imagine the vertex B
sliding toward the side AC of the triangle along the perpendicular
bisector, BO. What is the limit of
| OX | as B goes to O, that is, what is
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