1.

If the centroid of a triangle is at (-2,1),and two of its vertices are (1, -6) and (-5,2) then find thethird vertex of the triangle.​

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Answer:

If the centroid of a TRIANGLE is at (-2,1),and TWO of its VERTICES are (1, -6) and (-5,2)

- 2 =  \frac{1  - 5 + x}{3}  \\  - 6 =  - 4 + x \\ x =  - 2

1 =  \frac{ - 6 + 2 + y}{3}  \\ 3 =  - 4 + y \\ y = 7

then the third vertex of the triangle is (-2, 7).



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