Question

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

Answer 1

Answer:

Hey there

Pls refer below for the soln of ur asked query

Let the coordinates of third side be (a,b)

Centroid x coordinate = 2 =

$\frac{3 + ( - 7) + a}{3} \\ = \frac{a - 4}{3}$

2×3= a-4

a=10 = x coordinate

Centroid y coordinate= -1 =

$\frac{ - 5 + 4 + b}{3} \\ = \frac{b - 1}{3}$

-1×3 = b-1

b = -2

Thus

the coordinates if third side are (10,-2)

which is the required ans

Feel Free to ask a doubt if u have any!