Question

Good Morning Friends ✌✌

Q- Two vertices of a triangle are at (-3,1) and (0,2) and the centroid is at the origin. Find it's third vertex.

CLASS -X
CH - COORDINATE GEOMETRY

Please solve ❕❕

Answer 1

Hii dear good morning here is your answer



Let the third vertex of the triangle be C(x,y) and the other vertices A(-3,1) and B(0,-2).

Coordinates of the centroid of the triangle = (0,0) 

∴ (-3+0+x / 3, 1-2+y / 3) = (0,0)

-3+x = 0

x = 3 

And - 1 + y = 0

y = 1

∴ The third vertex of the triangle is (3,1)



Hope its help u

Answer 2

Let the third vertex of the triangle be C(x,y) and the other vertices A(-3,1) and B(0,-2).

Coordinates of the centroid of the triangle = (0,0) 

∴ (-3+0+x / 3, 1-2+y / 3) = (0,0)

-3+x = 0

x = 3 

And - 1 + y = 0

y = 1

∴ The third vertex of the triangle is (3,1)