verify algebraically that the three points with the vertices A(2,1) B(4, -1) and C(-2, -5) intersect at a single point, the centroid of ABC
also what is the centroid and how to find it
The point where the three medians of the triangle intersect.
The 'center of gravity' of the triangle
hint
1- find midpoints on segments AB, AC and BC
2 write linear equations for the medians passing thru these points.
you only need to work with two points, two equations y1, and y2
3-let y1=y2
where they intercept is your answer.
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The point where the three medians of the triangle intersect.
The 'center of gravity' of the triangle
hint
1- find midpoints on segments AB, AC and BC
2 write linear equations for the medians passing thru these points.
you only need to work with two points, two equations y1, and y2
3-let y1=y2
where they intercept is your answer.