Math, asked by sushankannah, 1 year ago

the centroid of the triangle whose vertices are (0,0), (2,5) and (7,4) is​

Answers

Answered by komalmittal147
7

Here's ur answer dear.

The answer is absolutely right.

It is solved by using the formula for coordinates of centroid of triangle.

Attachments:
Answered by BrainlyConqueror0901
14

\blue{\bold{\underline{\underline{Answer:}}}}

\green{\therefore{\text{Centroid(G)=}(3,3)}}\\

\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}

 \green{ \underline \bold{Given : }} \\ : \implies \text{Coordinate \: of \: A = (0,0)} \\ \\ : \implies \text{Coordinate \: of \: B = (2,5)} \\ \\ : \implies \text{Coordinate \: of \: C = (7,4)} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Centroid(G) = ?}

• According to given question :

 \bold{As \: we \: know \: that} \\ \circ \: \text{Centroid \: of \: triangle(G}) \\ \\ \circ \: \text{For \: x }= \frac{ x_{1} + x_{2} + x_{3} }{3} \\ \\ \circ \: \text{For \: y} = \frac{ y_{1} + y_{2} + y_{3} }{3} \\ \\ \text{Let \: Coordinate \: of \: (g) =( x,y) } \\ \\ \bold{For \: x}\\ : \implies x = \frac{ x_{1} + x_{2} + x_{3} }{3} \\ \\ : \implies x = \frac{0+2+ 7}{3} \\ \\ : \implies x = \frac{9}{3} \\ \\ \green{: \implies x =3} \\ \\ \bold{For \: y}\\ : \implies y= \frac{ y_{1} + y_{2} + y_{3} }{3} \\ \\ : \implies y= \frac{0+5+4}{3} \\ \\ : \implies y = \frac{9}{3} \\ \\ \green{: \implies y =3} \\ \\ \green{\therefore \text{Coordinate \: of \: centroid(G) = }(3,3)}

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