Problem invented on 09/24/2012 April 7, 2014 by stevedien Leave a comment Problem invented on 09/24/2012 ABC is a triangle in the plane. Let P be a point inside ABC. Prove that 3(PA² + PB² + PC²) ≥ AB² + BC² + CA². Find the condition for equality to occur. Share this:TwitterFacebookLike Loading... Related