Median of a triangle — lesson. Mathematics CBSE, Class 7.

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A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

Let us construct a median of a triangle.

Consider a triangle

$ABC$ ,

To draw the median, we need to consider the desired vertex (suppose

$A$ ) and its opposite side (

$BC$ ).

The midpoint of the side

$BC$ can be found by first constructing the perpendicular bisector (with the help of compass) on

$BC$ and joining the intersecting arcs.

Let

$D$ be the mid-point of

$BC$ .

Now join the point

$D$ and the opposite vertex

$A$ . This line segment

$AD$ is the median of a triangle

$ABC$ .

Important!

As there are three vertices for any triangle, every triangle has three medians, one from each vertex. That is, every triangle has exactly three medians.
Thus, a median connects a vertex of a triangle to the mid-point of the opposite side.

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1. Median of a triangle