Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
106 views
in Mathematics by (32.1k points)
closed by

If A(−1, 0), B(5, −2) and C(8, 2) are the vertices of a ∆ABC. Find the co-ordinates of its centroid ?

1 Answer

+1 vote
by (32.2k points)
selected by
 
Best answer

The coordinates of a centroid of a triangle whose vertices are (x1, y1), (x2, y2) & (x3, y3) is given by \((\frac{x_1+x_2+x_3}3,\frac{y_1+y_2+y_3}3)\)

Given that A(–1, 0), B(5, –2) and C(8, 2) are the vertices of a triangle ∆ABC. 

Then, the co-ordinates of the centroid is \((\frac{-1+5+8}3,\frac{0-2+2}3)\) = \((\frac{12}3,\frac{0}3)\) = (4,0).

Hence, the coordinates of the centroid of triangle ∆ABC is (4, 0).

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

...