SOLUTION: An equilateral triangle is inscribed in a circle of radius 14cm. find the side of the triangle

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Question 1117391: An equilateral triangle is inscribed in a circle of radius 14cm. find the side of the triangle

Answer by josgarithmetic(39618) About Me  (Show Source):
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Central angle of 120 degrees so there are three identical isosceles triangles. Each has peak angle 120 degrees, two equal sides each 14 cm and two equal angles each of 30 degrees.


Half of such an isosceles triangle will have 14 cm hypotenuse, 7 cm leg, and leg of length x. What is wanted is 2x, which will be the side length of the originally described equilateral triangle.

x%5E2%2B7%5E2=14%5E2
x%5E2=14%5E2-7%5E2
x%5E2=147
x=7%2Asqrt%283%29
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Side length of the equilateral triangle given is highlight%2814%2Asqrt%283%29%29.