Question

If the centroid of a triangle with vertices (2, 3), (x, y) and (3,-2) is the
origin, then find the values of x and y.​

Answer 1

Answer:

(-5,-1)

Step-by-step explanation:

The answer is

$( \frac{2 + x + 3}{3} ) = 0 \: and \: ( \frac{3 + y - 2}{3} ) = 0 \\ x + 5 = 0 \: and \: y + 1 = 0 \\ x = - 5 \: and \: y = - 1$

So, x=-5 and y=-1

Thank you

Answer 2

Answer:

Your answer is (-5,-1)

Step-by-step explanation:

The centeroid of a triangle is given by,

$( \frac{ x_{1} + x_{2} + x_{3}}{3} \: \: \frac{y_{1} + y_{2} + y_{3}}{3} )$

Where the variables are x and y coordinates of the vertices of the triangle.

Here the centeroid = (0,0)

Subtituing for each gives,

$\frac{2 + x + 3}{3} = 0 \\ \\ x + 5 = 0 \\ \\ x = - 5$

And so,

$\frac{3 + y - 2}{3} = 0 \\ \\ 1 + y = 0 \\ \\ y = - 1$

So the coordinates we get as the answer will be (-5, -1)