Difference between revisions of "1964 AHSME Problems/Problem 35"

Revision as of 18:20, 18 April 2020

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:

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

1964 AHSC (Problems • Answer Key • Resources)
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The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

Using Law of Cosines and the fact that the ratio equals cos(a)/[cos(b)cos(c)] B 5:11

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Difference between revisions of "1964 AHSME Problems/Problem 35"

Revision as of 18:20, 18 April 2020

Problem

See Also

@@ Line 11: / Line 11: @@
 {{MAA Notice}}
+Using Law of Cosines
+and the fact that the ratio equals cos(a)/[cos(b)cos(c)]
+B 5:11