LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
185 views
in Coordinate Geometry by (13.0k points)
closed by

If G is the centroid of a triangle ABC, prove that 

(i)  AB2+BC2+CA2=3(GA2+GB2+GC2

1 Answer

+1 vote
by (21.2k points)
selected by
 
Best answer

Let A(x1,y1),B(x2,y2)and C(x3,y3)be the vertices of △ABC.
Without the law of generality, assume the centroid oft he

from(ii)&(iii)
AB2 + BC2 +CA2 =3(GA2 +GB2+GC2 )

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...