Question

Find the third vertex of a triangle, if two of its vertices are at (-3, 1) and (0, -2) and the
centroid is at the origin.

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Answer 1

Answer:

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Step-by-step explanation:

Given :-

Centroid is (0,0) origin

First vertex = (-3,1)

second vertex = (0,-2)

Find :-

Third vertex

Using :-

Centroid formula :-

$G = ( \frac{x_1 + x_2 + x_3}{3} , \frac{y_1 + y_2 + y_3}{3} )$

Solving :-

$(0,0) = ( \frac{ - 3 + 0 + x_3}{3} , \frac{1 + ( - 2) + y_3}{3} )$

$(0,0) = ( \frac{x_3 - 3}{3}, \frac{y_3 - 1}{3} )$

$x_3 = + 3,y_3 = 1 \\ = > (x_3,y_3) = (3,1)$