Question

Draw an equilateral triangle. Find its circuncentre $\left(C\right)$, incentre $\left(1\right)$, centroid $\left(G\right)$ and orthocentre $\left(O\right)$. Write your observation.

Answer 1

The equilateral triangle with circumcentre $C$, incentre $I$, centroid $G$ and orthocentre $O$ is shown below

In Equilateral triangle all the centres, that is circumcentre $C$, incentre $I$, centroid $G$ and orthocentre $O$ lie on the same spot.