1964 AHSME Problems/Problem 35

Problem

The sides of a triangle are of lengths $13$ , $14$ , and $15$ . The altitudes of the triangle meet at point $H$ . if $AD$ is the altitude to the side of length $14$ , the ratio $HD:HA$ is:

$\textbf{(A) }3:11\qquad\textbf{(B) }5:11\qquad\textbf{(C) }1:2\qquad\textbf{(D) }2:3\qquad \textbf{(E) }25:33$

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1964 AHSME Problems/Problem 35

Problem