Question

if the centroid of the triangle with vertices ( -5, 3 ) , ( a, -1 ) and ( 6, b ) is ( 1, -1 ) find a and b​

Answer 1

Answer:

$using \: the \: formulae \\ (x,y) = ( \frac{x₁ + x₂ + x₃}{3} , \frac{y₁ + y₂ + y₃}{3} ) \\ (1, - 1) = ( \frac{ - 5 + a + 6}{3} , \frac{3 + ( - 1) + b}{3} ) \\ 1 = ( \frac{a + 1}{3} ) \: \: and - 1 = \: ( \frac{2 + b}{3} ) \\ 3 = a + 1 \: \: and \: - 3 = 2 + b \\ 3 - 1 = a \: \: and \: - 3 - 2 = b \\ 2 = a \: \: and \: - 5 = b \\ so \: the \: value \: of \: a \: and \: b \: is \: 2 \: and \: - 5 \: respectively$

Step-by-step explanation:

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