TS EAMCET · Maths · Properties of Triangles
If \(G\) is the centroid of the \(\triangle A B C\), then \(\mathbf{G A}+\mathbf{B G}+\mathbf{G C}\) is equal to
- A \(2GB\)
- B \(2GA\)
- C \(0\)
- D \(2BG\)
Answer & Solution
Correct Answer
(D) \(2BG\)
Step-by-step Solution
Detailed explanation
Since, \(G\) is the centroid of a triangle we know that \(G A + G B + G C =0\) or \(G A + G C =- G B\) ...(i) Now, \(G A + B G + G C =- G B + B G [\) from Eqs. (i) \(]\) = BG + BG = 2 BG
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