In an equilateral triangle the circumcenter coincide with which of the following?

एक समबाहु त्रिभुज में परिवृत्त केंद्र निम्नलिखित में से किसके साथ मेल खाता है?

This Question Asked In:
SSC, CGL MAINS 2026
  • A. A point outside the triangle.
  • B. The centroid of the triangle.
  • C. One of the vertex.
  • D. Midpoint of one side.
Correct Answer :B - The centroid of the triangle.
Detailed Solution Video
Video Credit –Nikhil Sharma Maths
Detailed Text Solution

In an equilateral triangle, all sides and all angles are equal.

The perpendicular bisectors, medians, angle bisectors, and altitudes all coincide at a single point.

Therefore, the circumcenter, centroid, incenter, and orthocenter are the same point.

Hence, the circumcenter coincides with the centroid of the triangle.

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