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Geometry Level pending

In a triangle A B C , ABC, A B = 3 , AB = \sqrt{3}, B C = 1 , BC=1, and C A = 2. CA = 2. Consider the point P P which is in the same plane as △ A B C \triangle ABC that minimizes A P + B P + C P . AP+BP+CP. Find ( A P + B P + C P ) 2 . \left(AP+BP+CP\right)^2.


The answer is 7.

Arkajeet Basak by Arkajeet Basak , 20, India

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1 solution

Reetun Maiti
Dec 4, 2015

It's very simple, P is the fermat point of triangle ABC. Problem over.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Smart mathematician. Great logic.

Arkajeet Basak - 5 years, 6 months ago

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