P is a point in the equilateral triangle ABC. If the distance from P to three sides is equal, then PA = Pb = PC Please prove this proposition,
prove:
Because the distance from P to the three sides is equal
So p is the intersection of the angular bisectors of △ ABC
∵ △ ABC is an equilateral triangle
P is the intersection of the three vertical bisectors of △ ABC
∴PA=PB=PC