Question

In an equilateral triangle, the orthocentre and the centroid coincide. Verify this statement by drawing an equilateral triangle, its altitudes and median. ​

Answer 1

Answer:

For an equilateral triangle, the altitudes, angle bisectors, medians from a vertex, all coincide with each other.

For an equilateral triangle, the altitudes, angle bisectors, medians from a vertex, all coincide with each other. Hence, the orthocenter O, centroid G and incentre I are all same in an equilateral triangle.