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Lengths of Altitudes of a Triangle

Source:

April 6, 2013

Problem Statement

The altitudes of a triangles are 1212, 1515, and 2020. The largest angle in this triangle is
<spanclass=′latex−bold′>(A)</span>72∘<spanclass=′latex−bold′>(B)</span>75∘<spanclass=′latex−bold′>(C)</span>90∘<spanclass=′latex−bold′>(D)</span>108∘<spanclass=′latex−bold′>(E)</span>120∘<span class='latex-bold'>(A) </span>72^\circ\qquad<span class='latex-bold'>(B) </span>75^\circ\qquad<span class='latex-bold'>(C) </span>90^\circ\qquad<span class='latex-bold'>(D) </span>108^\circ\qquad<span class='latex-bold'>(E) </span>120^\circ
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