2018 AMC 10B Problem 22

Real numbers x and y are chosen independently and uniformly at random from the interval [0,1]. Which of the following numbers is closest to the probability that x,y, and 1 are the side lengths of an obtuse triangle?

\textbf{(A) }0.21 \qquad \textbf{(B) }0.25 \qquad \textbf{(C) }0.29 \qquad \textbf{(D) }0.50 \qquad \textbf{(E) }0.79 \qquad

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.