Given the base of pyramid $$ P-ABCD $$ is a square. If the side of the square is $$ 1 $$ in length , $$ PA\perp CD $$ , $$ PA=1 $$ , $$ PD=\sqrt{2} $$ .
Prove $$ PA\perp $$ plabe $$ ABCD $$

Question

Given the base of pyramid $$ P-ABCD $$ is a square. If the side of the square is $$ 1 $$ in length , $$ PA\perp CD $$ , $$ PA=1 $$ , $$ PD=\sqrt{2} $$  .
Prove $$ PA\perp $$ plabe $$ ABCD $$

Question