Question

Find the centroid of the triangle whose vertices are (2,4), (6,4), (2,0).

Answer 1

Answer:

The centroid of the triangle is ( 10/3, 8/3).

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Answer 2

$\red{\bold{\underline{\underline{Answer}}}}$

$\tt\green{\therefore{Centroid=\frac{10}{3},\frac{8}{3}}}$

$\pink{\bold{\underline{Step-by-step\:explanation}}}$

• Given

$\tt \implies Coordinate \: of \: p = (2,4) \\ \\ \tt \implies Coordinate \: of \: q= (6,4) \\ \\ \tt \implies Coordinate \: of \: r= (2,0)$

• To find

$\tt \implies Centroid = ?$

For finding value of centroid :

$\tt \implies x = \frac{ x_{1} + x_{2} + x_{3} }{3} \\ \\ \tt \implies x = \frac{2 + 6 + 2}{3} \\ \\ \tt \implies x = \frac{10}{3} \\ \\ \tt \implies y=\frac{ y_{1} + y_{2} + y_{3} }{3} \\ \\\tt \implies y= \frac{4 + 4 +0}{3} \\ \\ \tt \implies y= \frac{8}{3} \\ \\ \green{\tt \therefore Centroid \: is \: (\frac{10}{3} ,\frac{8}{3} )}$