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An equilateral triangle is inscribed in a circle, each side measuring 15 cm. What is the radious of this circle?
To find the radius of the circle inscribed in an equilateral triangle, we can use the formula:
radius = (side length) / (√3)
In this case, the side length of the equilateral triangle is given as 15 cm. Substituting this value into the formula, we get:
radius = 15 cm / √3
To simplify the expression, we can rationalize the denominator by multiplying both the numerator and denominator by √3:
radius = (15 cm / √3) * (√3 / √3)
radius = (15√3 cm) / 3
radius = 5√3 cm
Therefore, the radius of the circle inscribed in the equilateral triangle is 5√3 cm.
