If an equilateral triangle is inscribed in the circle x^2+y^2=a^2,the length of its each side is?
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radius of the circle = a
the center of the circle = Incenter = centroid of the equilateral triangle
length of the side = L
altitude of the triangle = √3/2 * L
radius of circumcircle = 2/3 * (√3/2* L) = L/√3
=> L = side = √3 a
the center of the circle = Incenter = centroid of the equilateral triangle
length of the side = L
altitude of the triangle = √3/2 * L
radius of circumcircle = 2/3 * (√3/2* L) = L/√3
=> L = side = √3 a
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