If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is:
Q. If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is:
Answer: $latex 6\sqrt{3}cm$
Notes: In radius = $latex = \frac{Side}{2\sqrt{3}}&s=1$ $latex => 3 = \frac{Side}{2\sqrt{3}}&s=1$ $latex => Side = 3\times 2\sqrt{3} = 6\sqrt{3} cm$ Hence option [C] is the right answer.