Question

Coordinate of the vertex of a triangle are (4,3)(2,-3)and(-3,6) respectively then coordinate of centroid of triangle will be

Answer 1

Coordinate of centroid will be =(1,2)
hope this helps

Answer 2

Answer:

The coordinate of the centroid of the triangle is (1,2);

Explanation:

Given that:

The vertex of the triangle: (4,3);(2,-3);and (-3,6);

Lets name the co-ordinate as: A = (4,3); B = (2,-3); and C = (-3,6);

Now, we know that given the vertex of the triangle the centroid of the triangle will be:

$x = \frac{(x_{1} + x_{2} + x_{3})}{3}$

and;

$y = \frac{(y_{1} + y_{2} + y_{3})}{3}$

Here,

$x_{1} = 4;\\x_{2} = 2;\\x_{3} = -3;\\and\\y_{1} = 3;\\y_{2} = -3;\\y_{3} = 6;$

So, substituting the values, we get:

$x = \frac{(x_{1} + x_{2} + x_{3})}{3}$

⇒ $x = \frac{(4 + 2 + -3)}{3}$

⇒$x = \frac{3}{3}$

⇒$x = 1;$

and;

$y = \frac{(y_{1} + y_{2} + y_{3})}{3}$

⇒$y = \frac{(3 + -3 + 6)}{3}$

⇒ $y = \frac{6}{3}$

⇒$y = 2;$

Therefore,

The coordinate of the centroid of the triangle is (1,2);

To learn more about the centroid of a triangle, visit:

https://brainly.in/question/49497951

To learn more about the vertex of the triangle, visit:

https://brainly.in/question/47270983

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