Question

of D(-7,6), E(8,5) and F(2,-2) are vertices of triangle DEF, find the co-ordinates of centroid of triangle DEF.

Answer 1

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

X= X1 +X2 + X3

X = -7 + 8+2/3

Y= y1 + y2+ y3

Y = 6 + 5 +-2/3

X= 1+2/3 , Y= 11-2/3

X = 1............Y = 3