Question

Find the centroid of the triangle whose vertices are
(with step by step)

(-5,-5),(1,-4)and (-4,-2)​

Answer 1

GIVEN:

• Vertices of a triangle = (–5, –5), (1, –4) and (–4, –2)

TO FIND:

• What is the centroid of the triangle ?

SOLUTION:

Let the Centroid of triangle be 'c'

To find the centroid of triangle, we use the formula:-

$\large{\boxed{\bf{\star \: c = \dfrac{x_1 + x_2 + x_3}{3}, \dfrac{y_1 + y_2 + y_3}{3} \: \star}}}$

• $\sf{ x_1 = -5}$
• $\sf{x_2 = 1}$
• $\sf{x_3 = -4}$
• $\sf{ y_1 = -5}$
• $\sf{ y_2 = -4}$
• $\sf{ y_3 = -2}$

According to question:-

On putting the given values in the formula, we get

$\rm{\longrightarrow c = \dfrac{-5+1-4}{3} , \dfrac{-5-4-2}{3} }$

$\rm{\longrightarrow c = \dfrac{-8}{3}, \dfrac{-11}{3} }$

❝ Hence, the co-ordinates of centroid are –8/3, –11/3 ❞

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