Question

Find the coordinates of centroid of the triangles if points D(-7,6), E(8,5) and
F(2,-2) are the mid points of the sides of that triangle.
square.​

Answer 1

Answer:

a very important concept is that if ABC is a triangle and D , E and F are the midpoint of BC , CA and AB respectively. Then, centroid of ABC concides with centroid of triangle DEF .

I mean, centroid of the triangle = centroid of DEF

Given, D ≡ (-7, 6) , E ≡ (8, 5) and F ≡ (2, -2)

Use centroid formula,

if (x₁, y₁) , (x₂,y₂) and (x₃,y₃) are the vertices of triangle then, centoid of triangle is {(x₁ + x₂ + x₃)/3 , (y₁ + y₂ + y₃)/3}

Now, centroid of DEF = {(-7 + 8 + 2)/3, (6 + 5 -2)/3} = (1 , 3)

Hence, centroid of required triangle = (1,3)

Answer 2

Step-by-step explanation:

x1+x2+x3\2,y1+y2+y3\2

-7+8+2\3,6+5-2\3

3\3,9\3

1,3