Question

find the centroid of triangle formed by the vertices a,o - a,o and 0,0​

Answer 1

Answer:

0 , -a/3

Step-by-step explanation:

centroid = (x1 + x2 + x3) / 3  ;  (y1 + y2 + y3) / 3

              = (a-a+0) / 3 ; ( 0 - a + 0) / 3

centroid = 0 , -a/3

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Answer 2

Step-by-step explanation:

Given :-

The points are : (a,0) , (-a,0) ans (0,0)

To find :-

Fond the centroid of the triangle formed by the given points ?

Solution :-

Given points are : (a,0) , (-a,0) ans (0,0)

Let (x1, y1) = (a,0) => x1 = a and y1 = 0

Let (x2, y2) = (-a,0) => x2 = -a and y2 = 0

Let (x3, y3) = (0,0) => x3 =0 and y3 = 0

We know that

The Centroid of a triangle formed by the points (x1, y1) ,(x2, y2) and (x3, y3) is denoted by G(x,y) and defined by ({x1+x2+x3}/3 , {y1+y2+y3}/3}

On Substituting these values in the above formula then

=> G(x,y) = ({a+(-a)+0}/3 ,{0+0+0)/3)

=> G(x,y) = ({a-a+0}/3 ,0/3}

=> G(x,y) = (0/3,0/3)

=> G(x,y) = (0,0)

It is an Origin.

Answer:-

The Centroid of the triangle formed by the given points is (0,0) or Origin.

Used formulae:-

The Centroid of a triangle formed by the points (x1, y1) ,(x2, y2) and (x3, y3) is denoted by G(x,y) and defined by ({x1+x2+x3}/3 , {y1+y2+y3}/3}

Points to know:-

• The concurrent point of the medians of a triangle is called The Centroid.

• It is denoted by G

• The Centroid divides the median into 1:2 ratio .

• It is a Trisectional point of the median in a triangle.