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Median

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A line drawn from a vertex that divides the opposite side of the triangle into two equal segments is called a median. See figure 16


Figure 16. A median CD.


The medians of a triangle are concurrent. The point of the medianś intercept is called centroid. The centroid is a geometric center of a triangle. If you cut a triangle out of cardboard, find its centroid and place the triangle on a pencil tip so that the tip is in the centroid of the triangle, the triangle will be perfectly balanced. See figure 17.


Figure 17. A geometric center of a triangle. AE, CD and BF are medians.

Geometry for Students and Parents

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