Difference between revisions of "2013 AMC 10A Problems/Problem 15"
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==Problem== | ==Problem== | ||
Two sides of a triangle have lengths <math>10</math> and <math>15</math>. The length of the altitude to the third side is the average of the lengths of the altitudes to the two given sides. How long is the third side? | Two sides of a triangle have lengths <math>10</math> and <math>15</math>. The length of the altitude to the third side is the average of the lengths of the altitudes to the two given sides. How long is the third side? | ||
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<math> \textbf{(A)}\ 6 \qquad\textbf{(B)}\ 8 \qquad\textbf{(C)}\ 9 \qquad\textbf{(D)}\ 12 \qquad\textbf{(E)}\ 18 </math> | <math> \textbf{(A)}\ 6 \qquad\textbf{(B)}\ 8 \qquad\textbf{(C)}\ 9 \qquad\textbf{(D)}\ 12 \qquad\textbf{(E)}\ 18 </math> | ||
==Solution== | ==Solution== | ||
Revision as of 20:49, 7 February 2013
Problem
Two sides of a triangle have lengths 
and 
. The length of the altitude to the third side is the average of the lengths of the altitudes to the two given sides. How long is the third side?
