2002 AMC 12P Problem 16

The altitudes of a triangle are 12, 15, and 20. The largest angle in this triangle is

\text{(A) }72^\circ \qquad \text{(B) }75^\circ \qquad \text{(C) }90^\circ \qquad \text{(D) }108^\circ \qquad \text{(E) }120^\circ

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