Difference between revisions of "2013 AMC 10A Problems/Problem 15"
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==Problem== | ==Problem== | ||
| − | Two sides of a triangle have lengths 10 and 15. 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? |
<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 19:48, 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?
