Question

prove that if the ortho centre and centroid of a given triangle are same point then the triangle is an equilateral​

Answer 1

Answer:

Since F is the centroid, AD is a median. Since F is the orthocentre AD is an altitude. Hence AD is both an altitude and a median. ... Hence if in a triangle the incentre, the orthocentre, the circumcentre and the centroid coincide then the triangle is an equilateral triangle.

Step-by-step explanation:

please mark me as brainliest answer

Answer 2

Answer:

Since F is the centroid, AD is a median. Since F is the orthocentre AD is an altitude. Hence AD is both an altitude and a median. ... Hence if in a triangle the incentre, the orthocentre, the circumcentre and the centroid coincide then the triangle is an equilateral triangle.