Question

Two vertices of a triangle are (4, -3) and (-2, 5). If the centroid of the triangle is at is (1,2),then the third vertex​

Answer 1

Answer:

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so here we go

Step-by-step explanation:

let (4,-3)=(x1,y1)

(-2,5)=(x2,y2)

so let the third vertex of given triangle be (x3,y3)

so let G be the centroid of given triangle

thus G=(x,y)=(1,2)

so by centroid formula

we get

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

ie 1=4+(-2)+x3/3 2=-3+5+y3/3

ie 3=(4-2)+x3 6=2+y3

so x3=3-2 y3=6-2

hence x3=1,y3=4

thus third coordinates of given triangle are (1,4)

hence option b is ryt