0 votes
in Mathematics by (53.4k points)

Find the co-ordinates of the centroid of the triangle whose vertices are (x1, y1, z1) (x2, y2, z2) and (x3, y3, z3)

1 Answer

+1 vote
by (55.5k points)
selected by
Best answer

Note: Centroid is the point of intersection of the medians of the triangle and it is denoted by G. Centroid divides the median in the ratio 2:1.

Let A = (x1, y1, z1) , B = (x2, y2, z2) and C = (x3, y3, z3) be the vertices of the triangle ABC. Let AD be the median drawn from A. Then D is the mid-point of BC.

Let G be the centroid of the ΔABC. median AD in the ratio 2 : 1. 

∴ The coordinates of G are,

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.