i) The area of circumscribing
circular region of an equilateral triangle is
462 sq. cm. Let us write by calculating length of each side of this
triangle
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Given: Area of the circumscribing circular region = 462 cm2
Circle is centered at A.
∵ Area of a circle = πr2
⇒ r = 7√3
So, the radius of the circum circle of this triangle = 7√3 cm.
The centroid of equilateral triangle is at A and lies on height BE.
⇒ BE = 10.5√3 cm
Height of equilateral triangle = 10.5√3 cm
Height of equilateral triangle
⇒ Side of the triangle = 21 cm
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