Question 69

In $$\triangle$$XYZ, if G is the centroid and XL is the median with length 18 cm, then the length of XG is:

Solution

Given,

In $$\triangle$$XYZ, if G is the centroid and XL is the median

Length of the median XL = 18 cm

we know that centroid G divides the median XL in the ratio 2 : 1

$$=$$> XG : GL = 2 : 1

$$\therefore\ $$Length of XG = $$\frac{2}{2+1}\times \text{XL}=\frac{2}{3}\times18$$ = 12 cm

Hence, the correct answer is Option A

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