SOLUTION: (59) Point P is located in rectangle ABCD so that AP = 8, BP = 13 and CP = 19. Find the length of DP.

Algebra ->  Rectangles -> SOLUTION: (59) Point P is located in rectangle ABCD so that AP = 8, BP = 13 and CP = 19. Find the length of DP.      Log On


   

Question 1209529: (59) Point P is located in rectangle ABCD so that AP = 8, BP = 13 and CP = 19. Find the length of DP.
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

Use the British flag theorem
https://en.wikipedia.org/wiki/British_flag_theorem
https://artofproblemsolving.com/wiki/index.php/British_Flag_Theorem
%28AP%29%5E2+%2B+%28CP%29%5E2+=+%28BP%29%5E2+%2B+%28DP%29%5E2

%288%29%5E2+%2B+%2819%29%5E2+=+%2813%29%5E2+%2B+%28DP%29%5E2

I'll let the student finish up.