G is the centroid of the triangle ABC, where AB, BC and CA are 5 cm, 12 cm and 13 cm respectively, then BG is?
Answer & explanation
Correct answer: option 1
G is centroid, therefore BD is median and BD = \(\frac{AC}{2}\)
BG : GD = 2 : 1,
BD = \(\frac{13}{2}\)
BG = \(\frac{13}{2}\) × \(\frac{2}{3}\)= 4\(\frac{1}{3}\) cm