Plane geometry II · Chapter II · Warm-up

Problem 2, 2005

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RegionalOpen answer

Find all points \(P\) on the circle circumscribed about a triangle \(ABC\) for which the sum

\[ PA + PB + PC \]

is as small as possible.

A B C P

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Serbian Regional Competition 2005, high school grade I, category A, problem 2. Organized by the Mathematical Society of Serbia (DMS). Source