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Find the coordinates of the centroid of...

Find the coordinates of the centroid of the triangle whose vertices are `(x_1,y_1,z_1)`, `(x_2,y_2,z_2)`and `(x_3,y_3,z_3)`.

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To find the coordinates of the centroid of a triangle with vertices at \((x_1, y_1, z_1)\), \((x_2, y_2, z_2)\), and \((x_3, y_3, z_3)\), we can follow these steps: ### Step 1: Understand the Concept of Centroid The centroid (G) of a triangle is the point where the three medians intersect. It is also known as the center of mass of the triangle. The centroid divides each median into two segments, one of which is twice the length of the other. ### Step 2: Identify the Vertices Let the vertices of the triangle be: - \(A (x_1, y_1, z_1)\) ...
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