Question

(a) Show that if triangle ABC is equilateral, then for any point P in the interior of triangle ABC, the line segments PA, PB, and PC can be rearranged
to form a triangle. (b) Show that if triangle ABC is not equilateral, there is a point P in the interior of the triangle such that the line segments PA, PB, and PC can not be rearranged to form a triangle.
PC can not be rearranged to form a triangle.