Question

Consider square ABCD with point P somewhere inside of it. Let the distance from A to P be 5, the distance from B to P be 30, the distance from C to P be 37, and the distance from D to P be x Solve for x Give an exact answer.

Answer 1

From whats give in the question you have this picture.

I am thinking that since D connects to P and B connects to P you could say that DPB is a diagonal. Simillarly with APC. Then since ABCD is a square the diagonals should be equal so you can set up an equation BP+DP=AP+CP and plug the numbers in and solve for x