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Question
Find the coordinates of the centroid P of the ΔABC, whose vertices are A(–1, 3), B(3, –1) and C(0, 0). Hence, find the equation of a line passing through P and parallel to AB.
Sum
Solution
(a) `P((-1 + 3 + 0)/3, (3 +(-1) + 0)/3) = P(2/3, 2/3)`
(b) mAB = `(-1 - (3))/(3 - (-1))`
= `(-4)/4`
= –1
mAB = –1
Required equation,
`y - 2/3 = -1(x - 2/3)`
`\implies` 3x + 3y = 4
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Centroid of a Triangle
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