Answer :

Given: The coordinates of the A, B and C of the triangle ABC are (a, 1, 3), (-2, b, -5) and (4, 7, c) respectively. The centroid of the triangle is (0, 0, 0)


To find: the values of a, b, c


Formula used:


Centroid of triangle ABC whose vertices are A(x1, y1, z1), B(x2, y2, z2) and C(x3, y3, z3) is given by,



Here A(a, 1, 3), B(-2, b, -5) and C(4, 7, c)


Centroid of the triangle





On comparing:



a + 2 = 0


a = –2



b + 5 = 0


b = –5



c – 2 = 0


c = 2


Hence, values of a, b and c are -2, -5, 2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

The ratio in whicRD Sharma - Mathematics

The ratio in whicRD Sharma - Mathematics

If a parallelepipRD Sharma - Mathematics

Two vertices of aRS Aggarwal - Mathematics

If the origin is RS Aggarwal - Mathematics

If the three consRS Aggarwal - Mathematics

Find the ratio inRD Sharma - Mathematics

Write the coordinRD Sharma - Mathematics

Find the coordinaRD Sharma - Mathematics

Find the centroidRD Sharma - Mathematics