2019 · Q98
Consider the following for the next two (02) items:
An equilateral triangle ABC is inscribed in a circle of radius 20√3 cm.
What is the length of the side of the triangle?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A30 cm
- B40 cm
- C50 cm
- D60 cm
Explanation
For an equilateral triangle of side a, the circumradius is R = a/sqrt(3), so a = R*sqrt(3). With R = 20*sqrt(3) cm, the side is 20*sqrt(3)*sqrt(3) = 20*3 = 60 cm. Hence option (d).