Question

Two vertices of a triangle are A(22, 20) and B(-2, -3). If centroid of the triangle is G (-7, 4), find the third vertex.

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Answer 1

Answer:

(-41,-5)

Step-by-step explanation:

Given :

• First vertice of the triangle = A (22,20)

• Second vertice of the triangle = B (-2,-3)

• Centroid of the triangle = G (-7,4)

To find :

• Third vertex of the triangle

X- Co ordinate of the Centroid of the triangle = (X1+X2+X3 / 3)

Y- Co ordinate of the Centroid of the triangle = (Y1+Y2+Y3 / 3)

X-co ordinate :

-7 = (22-2+X3)/3

-21 = 20+X3

-41 = X3

Y-Co ordinate :

4 = (20-3+Y3) / 3

12 = 17+Y3

12-17 = Y3

-5 = Y3

The third vertex of the triangle is (-41,-5)