Question

find the coordinates of the centroid of a triangle with vertices (0,0);(3a,0);(0,3b)​

Answer 1

Answer:

Hope it helps you

Step-by-step explanation:

Answer 2

The centroid of a triangle is G(a, b).

Step-by-step explanation:

The three vertices of  a triangle are  (0, 0), (3a, 0) and (0, 3b).

To find, the centroid of a triangle = ?

We know that,

The centroid of a triangle, G(x, y)

= $(\dfrac{x_{1}+x_{2}+x_{3}}{3}, \dfrac{y_{1}+y_{2}+y_{3}}{3})$

∴ x = $\dfrac{0+3a+0}{3}$

⇒ x = $\dfrac{3a}{3}$

⇒ x = a

And, y = $\dfrac{0+0+3b}{3}$

⇒ y = $\dfrac{3b}{3}$

⇒ y = b

∴ x = a and y = b

Thus, the centroid of a triangle is G(a, b).