PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Revision difference : median
Version 9 Version 8
The \emph{median} of a triangle is a line joining a vertex with the midpoint of the opposite side. The median of a triangle is a line joining a vertex with the midpoint of the opposite side.
In the next figure, $AA'$ is a median. That is, $BA'=A'C$, or equivalently, $A'$ is the midpoint of $BC$. In the next figure, $AA'$ is a median. That is, $BA'=A'C$, or equivalently, $A'$ is the midpoint of $BC$.
\begin{center} \begin{center}
\includegraphics[scale=0.5]{median} \includegraphics[scale=0.5]{median}
\end{center} \end{center}
If the length of the three sides of the triangle are known, the length of the medians can be found by means of Apollonius theorem. If the length of the three sides of the triangle are known, the length of the medians can be found by means of Apollonius theorem.