Math, asked by yoobahi, 1 day ago

The centroid of a triangle formed by (-7,x) ; (2,-2) and (8,5) is at (1,3) then find value of x​

Answers

Answered by manishnikhilkumar123
0

Answer:

(  

3

7+q+9

,  

3

p−6+10

)=(6,3)

⇒(p,q)=(5,2)

The vertices of a triangle are (7,p),(q,−6),(9,10).

Formula for centroid  of a triangle:

(  

3

x  

1

+x  

2

+x  

3

 

,  

3

y  

1

+y  

2

+y  

3

 

)

Centroid of given triangle is

(  

3

7+q+9

,  

3

p−6+10

)

It is given that centroid of given triangle is (6,3).

(  

3

7+q+9

,  

3

p−6+10

)=(6,3)

On comparing both sides we get

The value of q is 2.

The value of p is 5.

Therefore, the value of p+q is 7

Step-by-step explanation:

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