A(h, -6), B(2, 3) and C(-6, k) are the co-ordinates of vertices of a triangle whose centroid is G(1, 5). Find h and k.

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: h = 7, k = 18

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

\[\frac{h+2-6}{3}=1\ \Rightarrow\ h-4=3\ \Rightarrow\ h=7\]

\[\frac{-6+3+k}{3}=5\ \Rightarrow\ k-3=15\ \Rightarrow\ k=18\]

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

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