Question
How many medians can a triangle have?
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Answer
A triangle has three vertices and three sides opposite to each of the vertices. So, for each vertex, there is a median of the triangle. Hence, a triangle has three medians. In the above figure $D$, $B$ and $F$ are the mid-points of line segments $B C, A C$ and $A B$ respectively. Therefore, line segments $A D, B E$ and $C F$ are three medians of $\triangle A B C$.
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