Question

If two vertices of a triangle are (0, -2) and (-3, 1) and
the centroid is at the origin, then third vertex is
​

Answer 1

Step-by-step explanation:

Let (a,b) be the third vertex.

Centroid of the triangle = (0,0)

$( \frac{0 + ( - 3) + a}{3} \: \: \: \frac{( - 2) + 1 + b}{3} ) = (0 \: \: 0)$

$( \frac{a - 3}{3} \: \: \: \frac{b - 1}{3} ) = (0 \: \: 0)$

Here,

$\frac{a - 3}{3} = 0 \\ a - 3 = 0 \\ a = 3$

$\frac{b - 1}{3} = 0 \\ b - 1 = 0 \\ b = 1$

Therefore the third vertex is (3,1)

Answer 2

Answer:

-3,1

Step-by-step explanation:

see above picture hope this helps