February 14th, 2018, 02:42 AM | #1 |
Newbie Joined: Feb 2018 From: Afghanistan Posts: 17 Thanks: 0 | Proof
A quadrilateral with vertices A(-b,-a),B(b,-a),C(b,a)and D(-b,a)is given A point P(x,y) is taken on the same plane with ABCD show that PA^2+PC^2=PB^2+PD^2 |
February 14th, 2018, 04:18 AM | #2 |
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,885 Thanks: 1088 Math Focus: Elementary mathematics and beyond |
Hi Marva. I think the quadrilateral is a rectangle. Can you use the Pythagorean theorem to complete the problem? Last edited by greg1313; February 14th, 2018 at 05:55 AM. |