It will be a quadrilateral.
Let the perpendiculars from B and C meet the sides AC, and AB, at E and D respectively, and meet each other at F.
The point P can lie anywhere , on or within the quadrilateral ADFE.
inside a equilateral triangle ABC a point P moves such that
d(P,BC)>=MAX{d(P,AB),d(P,AC)}
then the area bounded by all possible positions of P is
a)trinagle
b)circle
c)quadilatral
d)pentagon
It will be a quadrilateral.
Let the perpendiculars from B and C meet the sides AC, and AB, at E and D respectively, and meet each other at F.
The point P can lie anywhere , on or within the quadrilateral ADFE.