Circle shaped Trace

Geometry Level pending

Point P within an equilateral triangle A B C ABC with side length 2 a 2a satisfies the following relationship: P A ‾ 2 = P B ‾ 2 + P C ‾ 2 . \overline{PA}^2=\overline{PB}^2+\overline{PC}^2. Calculate the length of the locus of P . P.

2 π a 3 \frac{2\pi a}{3} π a 3 \frac{\pi a}{3} a 3 \frac{a}{3} π a 2 \frac{\pi a}{2}

Sandeep Mehra by Sandeep Mehra , 23, India

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