Question 76

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

Solution

Side of equilateral triangle = 6 cm

Height = $$\frac{\sqrt{3}}{2} \times = 3\sqrt{3}$$

Centroid divided the height in the ratio of 2:1 .

AG = $$\frac{2}{3} \times 3\sqrt{3}$$

So, the answer would be option c)2$$\surd{3}$$ cm

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