Question

two vertices of a triangle are (3, -5) and (-7,4) .if centroid is (2,-1) . then find the third vertex .

Answer 1

If centroid =(x,y)

(x,y)=x1+x2+x3/3,y1+y2+y3/3

(2,-1)=((a+3-7)/3),((b+4-5)/3)

So,

2*3=a-4

=a=6+4=10

b-1=-1*3

=b=-3+1=-2

The coordinates are(10,-2)

Answer 2

hi mate here is ur answer

pls mark as brainliest if it helps!!!

A( 3,-5) B( -7,4)

G = (2,-1)

( 2,-1) = X1+X2+x3/3 + y1+y2+y3 /3

(2,-1) = 3 + (-7) + x/3 , -5+4 +y /3

(2,-1)= 3-7+x/3,-1+y/3

(2,-1)= -4+x/3,-1+y/3

now equating x and y coordinates

we get, 2= -4 + x/3

6 = -4 + x

x = 10

-1 = -1+y/3

-3 = -1+y

-2 = y

the third vertex is (10,-2)

hope it helps!!!