[" 64."P" is an interior point of a square "ABCD" .Prove that "],[PA+PB+PC+PD>2AB" ."]

P is an interior point of square ABCD. Prove that PA+PB+PC+PD gt 2 AB .

P is any point in the interior of a triangle ABC. Prove that : PA+PB lt AC +BC

P is any point in the interior of a triangle ABC. Prove that : PA+PB lt AC +BC

P is an external point of the square ABCD. If PA gt PB ,then prove that PA^(2) - PB^(2) ~= PD^(2) - PC^(2)

P is a point inside the rectangle ABCD Prove that PA^2+ PC^2= PB^2 +PD^2 : .

In the adjoining figure, P is an interior point of DeltaABC . Then prove that : AB+BC+CA lt 2(PA + PB +PC)

[" An equilateral triangle "ABC" is inscribed in a circle.P is any point on the minor are BC.Prove "],[" that "PA=PB+PC]

If P be any point in the plane of square ABCD, prove that PA^(2)+PC^(2)=PB^(2)+PD^(2)

If P be any point in the plane of square ABCD, prove that PA^(2)+PC^(2)=PB^(2)+PD^(2)

If P be any point in the plane of square ABCD, prove that PA^(2)+PC^(2)=PB^(2)+PD^(2)