Question

Find the coordinates of centroid of the triangle if points D(-7,6) E (8,5) and F(2,-2) are the midpoints of the side of triangle

Answer 1

Answer:

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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)

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