The Median of a Triangle Side

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

Let's consider a triangle ABC.

triangle ABC

The median of side CB is the segment that connects vertex A to the midpoint M on side CB, opposite vertex A.

median of side BC

The median of side AC is the segment that connects vertex B to the midpoint M on side AC, opposite vertex B.

median of side AC

Finally, the median of side AB is the segment that connects vertex C to the midpoint M on side AB, opposite vertex C.

median of side AB

Every triangle has three medians, one for each side.

The point where the three medians of a triangle intersect is called the centroid.

centroid of the triangle

The centroid is one of the key points of a triangle.

And so on.

 
 

Please feel free to point out any errors or typos, or share suggestions to improve these notes. English isn't my first language, so if you notice any mistakes, let me know, and I'll be sure to fix them.

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