An equilateral triangle ABC is inscribed in a circle of radius 20√3. What is the length of the side of the triangle?

30 cm
40 cm
50 cm
60 cm

Correct Answer: 60 cm

Explanation:

Radius of circumcircle of an equilateral triangle = side /√3

R = a/√3

a = R√3 = 20√3 *√3 = 60cm

← Previous Question Next Question→

More Questions from Volume and Surface Area

An equilateral triangle ABC is inscribed in a circle of radius 20√3. The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to ?
The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm. What is the surface area of the cuboid?
The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm. If S is sum of the cubes of the dimensions of the cuboid and V is its volume, then what is (S-3V) equal to?
The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?
Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?
Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?A. 154 square cmB. 308 square cmC. 462 square cmD. 616 square cm
A rectangular red carpet of size 6 ft ×12 ft has a dark red border 6 inches wide. What is the area of the dark red border?
Consider the following statements: 1) An isosceles trapezium is always cyclic. 2) Any cyclic parallelogram is a rectangle. Which of the above statements is/are correct?
Consider the following statements: 1) The number of circles that can be drawn through three non-collinear points is infinity. 2) Angle formed in minor segment of a circle is acute. Which of the above statements is/are correct?
Consider the following statements: 1) The number of circles that can be drawn through three non-collinear points is infinity. 2) Angle formed in minor segment of a circle is acute. Which of the above statements is/are correct?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion