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Home » But $ -\frac103 < -3 $, so valid. - Groen Casting

But $ -\frac103 < -3 $, so valid. - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solution: First, compute the center of mass (centroid) of triangle $ ABC $:

📌 G = \left( \frac{0 + 6 + 3}{3}, \frac{0 + 0 + 6}{3} \right) = (3, 2)

📌 Now compute the squared distances from each vertex to $ G $:

📌 From $ A = (0, 0) $:

📌 d_A^2 = (3 - 0)^2 + (2 - 0)^2 = 9 + 4 = 13

📌 From $ B = (6, 0) $:

📌 d_B^2 = (3 - 6)^2 + (2 - 0)^2 = 9 + 4 = 13

📌 From $ C = (3, 6) $:

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