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1964 AHSME Problems/Problem 35

Revision as of 18:09, 5 March 2014 by Bobthesmartypants (talk | contribs) (Created page with "==Problem== The sides of a triangle are of lengths <math>13</math>, <math>14</math>, and <math>15</math>. The altitudes of the triangle meet at point <math>H</math>. if <math>AD...")
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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 teh 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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