Question

find the centroid of the triangle whose vertices are (-2,5) (3,-4) (7,10)

Answer 1

Answer:

G(8/3, 11/3)

Step-by-step explanation:

Check the solution from the attached image.

Answer 2

Given:-

A triangle with the following 3 vertices

• A(-2,5)
• B(3,-4)
• C(7,10)

To Find:-

• Coordinates of centroid

Formula:-

$\\\bullet\quad\underline{\boxed{\sf Centroid=\bigg(\dfrac{x_1+x_2+x_3}{3}\bigg), \bigg(\dfrac{y_1+y_2+y_3}{3}\bigg) }}\bigstar$

Calculation:-

$\quad\longrightarrow\quad\sf Centroid =\bigg( \dfrac{-2+3+7}{3} \bigg),\bigg(\dfrac{5+(-4)+10}{3} \bigg)$

$\\\quad\longrightarrow\quad \boxed{\sf Centroid=\dfrac{8}{3},\dfrac{11}{3}}\bigstar$

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