In an equilateral triangle, prove that the centroid and the circumcentre coincide.

In an equilateral triangle prove that the centroid and the centre of the circumcircle (circumcentre) coincide.

In an equilateral triangle, prove that the centroid and centre of the circum-circle (circum centre) coincide) Given : An equilateral triangle A B C in which D , E a n d F are the mid-points of sides B C , C A a n d A B respectively. To Prove: The centroid and circum centre are coincident. Construction : Draw medians A D , B E a n d C F

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

Circumcentre of triangle

If P, Q, R divide the sides BC, CA and AB of DeltaABC in the same ratio, prove that the centroid of the triangles ABC and PQR coincide.

Given the perimeter of a triangle, prove that the triangle of the greatest area is equilateral.

A uniform wire frame ABC is in the shape of an equilateral triangle in xy- plane with centroid at the orgin. Then :-