# Are you stronger than a 5th standard pass-out?

Geometry Level pending

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

×