1964 AHSME Problems/Problem 35: Difference between revisions
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== | ==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</math> is | 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</math> is the altitude to the side of length <math>14</math>, the ratio <math>HD:HA</math> is: | ||
<math>\textbf{(A) }3:11\qquad\textbf{(B) }5:11\qquad\textbf{(C) }1:2\qquad\textbf{(D) }2:3\qquad \textbf{(E) }25:33</math> | <math>\textbf{(A) }3:11\qquad\textbf{(B) }5:11\qquad\textbf{(C) }1:2\qquad\textbf{(D) }2:3\qquad \textbf{(E) }25:33</math> | ||
Revision as of 17:09, 5 March 2014
Problem
The sides of a triangle are of lengths 
, 
, and 
. The altitudes of the triangle meet at point 
. if 
is the altitude to the side of length , the ratio 
is:
