An equilateral triangle is inscribed in a circle. If the radius of the circle is 10 cm, calculate the length of a side of the triangle. Answer to nearest whole centimetre
The diagram at
http://mathworld.wolfram.com/images/eps-gif/EqTriangleInscribeCirc_1001.gif
should help.
17cm
To find the length of a side of an equilateral triangle inscribed in a circle, we need to use the property that in such a triangle, the radius of the circle is equal to the distance between the center of the circle and any vertex of the triangle.
In this case, we are given that the radius of the circle is 10 cm. Since an equilateral triangle has all sides and angles equal, each side of the triangle is equal to the radius of the circle.
Therefore, the length of a side of the triangle is also 10 cm.