Question 63

In $$\triangle$$ABC, AB = 7 cm, BC = 24 cm and AC = 25 cm.If is the centroid of the triangle, then what is the length (in cm) of BG ?

Solution

7,24,25 forms a right triangle

As we know, in a right triangle , AM = MC = BM , Where M is the Circumcentre.

BM = $$\frac{AC}{2}$$

= $$\frac{25}{2}=\ 12.5$$

G is the centroid , and it divide the BM in the ratio - 2 : 1

Now, BG = $$12.5\times\ \frac{2}{3}$$

= 8.3333 = $$8\ \frac{\ 1}{3}$$

Hence option B is correct.

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