In ΔABC, G(-4, -7) is the centroid. If A(-14, -19) and B(3, 5) then find the co-ordinates of C.

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: C(-1, -7)

Centroid \(G=\left(\dfrac{x_1+x_2+x_3}{3},\ \dfrac{y_1+y_2+y_3}{3}\right)\).

Let C = (x, y).

\[\frac{-14+3+x}{3}=-4\ \Rightarrow\ x-11=-12\ \Rightarrow\ x=-1\]

\[\frac{-19+5+y}{3}=-7\ \Rightarrow\ y-14=-21\ \Rightarrow\ y=-7\]

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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