Find the radius of a circle inscribed in an equilateral triangle with a side of 12 cm.

Since the triangle is equilateral, the formula is used to find the radius of a circle inscribed in it: r = a√3 / 6, where a is the side of an equilateral triangle, and r is, respectively, the radius of the inscribed circle. In our case, the side is “12”, which means the radius of the circle: r = 12√3 / 6 = 2√3.
Answer: r = 2√3.



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