Question

4. Write the coordinates of the centroid of the triangle formed by joining (2,3), (-3,0),
(4,0).​

Answer 1

Answer:

$x = 1$

Same process for

$y$

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Answer 2

Answer:

The coordinates of the centroid of the triangle formed by joining (2, 3) , (-3, 0) and (4, 0) is (1, 1)

Step-by-step explanation:

We know that if (x₁, y₁) , (x₂, y₂) and (x₃, y₃) are three coordinates of the triangle,

then the centroid = $\big(\frac{x_1+x_2+x_3}{3} , \frac{y_1+y_2+y_3}{3}\big)$

Here the points of the vertex of the triangle are (2, 3) , (-3, 0) and (4, 0)

Therefore, on substitution,

Centroid =  $\big(\frac{2-3+4}{3} , \frac{3+0+0}{3}\big)$

               =  $\big(\frac{3}{3} , \frac{3}{3}\big)$

               = (1, 1)

Therefore, the coordinates of the centroid of the triangle formed by joining (2, 3) , (-3, 0) and (4, 0) is (1, 1)