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# halp it's due tomorrow

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A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle are drawn below. image: latex.artofproblemsolving.com/b/c/3/bc36d6a86ebdd87399c8b07d66ec053e8593c264.png

Note that the three medians appear to intersect at the same point. Consider the triangle ABC with A = (3,6), B = (-5,2), and C = (7,-8). (a) Let D, E,F$be the midpoints of$\overline{BC},\overline{AC},\overline{AB},$respectively. Find the equations of medians$\overline{AD},\overline{BE},$and$\overline{CF}.\$ (b) Show that the three medians in part (a) all pass through the same point.

I'm really stuck, can somebody help?

Aug 28, 2020

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The coordinates of a centroid G (1.667, 0)

AD = √92+ 22         BE = √102+32            CF = √122+82

You can do the rest.

Aug 29, 2020
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How are the coordinates a square root?

Aug 29, 2020