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Question

How many medians a triangle can have?


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Solution

Definition of median :

A triangle will have 3 medians. A line segment that joins any vertex of the triangle and the mid-point of its opposite side is called a median. It is also the line from the midpoint of a side to the opposite interior angle. They are concurrent at the centroid. The point which is common to all the 3 medians during their crossing is called a point of concurrency, the centroid of a triangle.

Formula to find the median :

The formula for the length of the median to side

BC=12(2(AB)2+2(AC)2-(BC)2)


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