P is a point interior to rectangle ABCD and such that PA=3 inches, PD=4 inches, and PC=5 inches. Then PB, in inches, equals:<spanclass=′latex−bold′>(A)</span>23<spanclass=′latex−bold′>(B)</span>32<spanclass=′latex−bold′>(C)</span>33<spanclass=′latex−bold′>(D)</span>42<spanclass=′latex−bold′>(E)</span>2[asy]
draw((0,0)--(6.5,0)--(6.5,4.5)--(0,4.5)--cycle);
draw((2.5,1.5)--(0,0));
draw((2.5,1.5)--(0,4.5));
draw((2.5,1.5)--(6.5,4.5));
draw((2.5,1.5)--(6.5,0),linetype("8 8"));
label("A",(0,0),dir(-135));
label("B",(6.5,0),dir(-45));
label("C",(6.5,4.5),dir(45));
label("D",(0,4.5),dir(135));
label("P",(2.5,1.5),dir(-90));
label("3",(1.25,0.75),dir(120));
label("4",(1.25,3),dir(35));
label("5",(4.5,3),dir(120));
//Credit to bobthesmartypants for the diagram
[/asy]