InterviewSolution
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InterviewSolution
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Find the centroids of the triangles whose vertices have the coordinates `(-7,6) (2,-2) ` and (8,5). |
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Answer» Let A (-7,6) , B (2,-2) and C (8,5). Let the coordinates of the points A , B and C be ` (x_(1) , y_(1)), (x_(2), y_(2))` and `(x_(3), y_(3))` respectively ` therefore x_(1) = - 7 , y_(1) - 6 , x_(2) = 2 , y_(2) = - 2, x_(3) - 8 " and " y_(3) = 5` Let G (x,y) be the centroid. By dentroid formula `x = (x_(1) + x_(2) + x_(3))/(3)` ` therefore x = (-7 + 2 + 8)/(3)` ` therefore x = (3)/(3)` ` therefore x = 1` ` y= (y_(1) + y_(2) + y_(3))/(3)` ` therefore y = (6 + (-2) + 5)/(3)` `therefore y = (9)/(3)` ` therefore y = 3 ` The coordinates of the centroid are (1,3). |
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