Midpoint Formula: Deriving & Understanding

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The discussion revolves around understanding the midpoint formula and its application in finding the centroid of a triangle. The centroid can be calculated by averaging the coordinates of the triangle's vertices, specifically for triangles with vertices A(-a, b), B(a, b), and C(0,0). The centroid is determined to be at the coordinates (0, (2/3)b). The initial inquiry about finding the midpoint led to clarification on the distinction between midpoints and centroids. The participant ultimately resolved their question independently after receiving input.
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Figured out, thanks.
 

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I need more information. Find the midpoint of what? Do you mean find the centroid of the triangle? Assuming that line AB is horizontal and P is the midpoint of AB, then the centroid is on the line OP.

One very nice method of finding the centroid of a triangle (doesn't work for figures of more than three sides) is to "average" the three vertices. That is, if the vertices of this triangle are A(-a, b), B(a, b), C(0,0) as it appears, then the centroid is a ((-a+a+ 0)/3, ((b+b+0)/3)= (0, (2/3)b).
 
Its okay, I've figured it out, thank you though.
 
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