Question

Find the centroids of the triangles whose vertices are given below. (1)(-7, 6), (2, -2), (8, 5).
pls answer fast

Answer 1

Step-by-step explanation:

Centroid is ((-7+2+8)/3 , (6-2+5)/3)

= (1,3)

Answer 2

Answer:

The coordinates of the centroid of the triangle are ( 1, 3 ).

Step-by-step-explanation:

Let the triangle be ABC.

The coordinates of the given points are

• A ( - 7, 6 ) ≡ ( x₁, y₁ )
• B ( 2, - 2 ) ≡ ( x₂, y₂ )
• C ( 8, 5 ) ≡ ( x₃, y₃ )

We have to find the coordinates of the centroid of the triangle.

Let the coordinates of centroid be G ( x, y ).

By centroid formula,

• x = ( x₁ + x₂ + x₃ ) / 3

• y = ( y₁ + y₂ + y₃ ) / 3

Now,

x = ( x₁ + x₂ + x₃ ) / 3

⇒ x = ( - 7 + 2 + 8 ) / 3

⇒ x = ( - 7 + 10 ) / 3

⇒ x = 3 / 3

⇒ x = 1

Now,

y = ( y₁ + y₂ + y₃ ) / 3

⇒ y = ( 6 - 2 + 5 ) / 3

⇒ y = ( 4 + 5 ) / 3

⇒ y = 9 / 3

⇒ y = 3

∴ G ( x, y ) ≡ ( 1, 3 )

∴ The coordinates of the centroid of the triangle are ( 1, 3 ).