Question

A(1,1), B(2,3).C (-2,3) are the vertices of triangle the intersecting point of the medians is ​

Answer 1

Answer:

what is the answer for these question

Answer 2

The intersecting point of the medians when the vertices of triangle areGiven:

A ( 1 , 1 ) B ( 2 , 3) C ( - 2 , 3 )

To find :

The intersecting point of the medians when the vertices of triangle are A(1,1), B(2,3).C (-2,3) .

Formula to be used:

The intersecting point of the medians of triangle is known as the Centroid of the triangle.                                                                                                          The formula to find the centroid of the triangle is  $(\frac{x_{1}+x_{2}+x_{3} }{3} , \frac{y_{1}+y_{2}+y_{3} }{3} )$

Solution:

Step 1 of 2:

If the vertices of triangle is given then we can find the intersecting point of the medians of triangle by using the following formula,  

$(\frac{x_{1}+x_{2}+x_{3} }{3} , \frac{y_{1}+y_{2}+y_{3} }{3} )$              

Step 2 of 2:

On substituting the given values in the formula we get,

Centroid = $(\frac{x_{1}+x_{2}+x_{3} }{3} , \frac{y_{1}+y_{2}+y_{3} }{3} )$

Centroid = $(\frac{1+2+( -2 )}{3} , \frac{1+3+3 }{3} )$

Centroid = $(\frac{1}{3} , \frac{7 }{3} )$

 Final answer:

The intersecting point of the medians of vertices of triangle A ( 1 ,1 ),

B ( 2 , 3 ), C ( - 2 , 3 ) is $(\frac{1}{3} , \frac{7 }{3} )$ .