Question

find the third vertex of a triangle if two vertices are -3,1 and 0,-2 and the centeroid at the origin​

Answer 1

Answer:

(3,1)

Step-by-step explanation:

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

The Centroid is O(0,0).

Formula of centroid is

= x₁ + x₂ + x₃  ,   y₁ + y₂ + y₃

        3                        3

So, 0= $\frac{-3 + 0 + x}{3} \\0= \frac{x-3}{3} \\0=x-3\\x=3$

Similarly

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

Thus, The third vertex is (3,1)

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