InterviewSolution
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InterviewSolution
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Find the centroid of `Delta ABC` whose vertices are A(-3, 0), B(5, -2), and C(-8, 5). |
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Answer» Here, `(x_(1) = -3, y_(1) = 0), (x_(2) = 5, y_(2) = -2) "and" (x_(3) = -8, y_(3) = 5).` Let G(x, y) be the centroid of `Delta ABC`. Then, `x = (1)/(3) (x_(1) +x_(2) + x_(3)) = (1)/(3) (-3+5-8) = -2,` `y = (1)/(3) (y_(1) + y_(2) + y_(3)) = (1)/(3)(0-2+5) = 1.` Hence, the centroid of `Delta ABC` is G(-2, 1). |
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