1986 AIME Problem 15

Let triangle ABC be a right triangle in the xy-plane with a right angle at C_{}. Given that the length of the hypotenuse AB is 60, and that the medians through A and B lie along the lines y=x+3 and y=2x+4 respectively, find the area of triangle ABC.

Leading zeroes must be inputted, so if your answer is 34, then input 034

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