A GPS receiver is at coordinates $(x, y)$ in the plane. Three satellites are located at $S_1 = (0, 0)$, $S_2 = (0, 10)$, and $S_3 = (8, 0)$. The measured distances from the receiver to these satellites are $d_1 = 5$, $d_2 = \\sqrt{65}$, and $d_3 = 5$. What are the coordinates $(x, y)$ of the receiver?