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# median of a triangle

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A median of a triangle is a line segment from a vertex of a triangle to the midpoint of the opposite side of the triangle. Below, the three medians of the black triangle are shown in red.

Notice that the three medians appear to pass through the same point! Let's test this out with a specific triangle. Consider one specific triangle ABC with A = (3,6), B = (-5,-8), and C = (14,11). Do the three medians of this triangle pass through the same point? If so, what point? Oct 18, 2020

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Notice that the three medians appear to pass through the same point! Let's test this out with a specific triangle. Consider one specific triangle ABC with A = (3,6), B = (-5,-8), and C = (14,11). Do the three medians of this triangle pass through the same point? If so, what point?

I'll let you find the coordinates of the centroid. Have fun.  Oct 18, 2020
edited by Dragan  Oct 18, 2020
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For some strange reason, I cannot edit my own post!!! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I,m adding this to my post:

The Median Theorem states that the medians of a triangle intersect at a point called the centroid that is two-thirds of the distance from the vertices to the midpoint of the opposite sides.

Dragan  Oct 18, 2020