Question

If a vertex of triangle is( 1,1) and the midpoint of two sides to this vortex are - (-1 ,2) and (3, 2) then the centroid of the triangle is

Answer 1

Answer:

Step-by-step explanation:

Use centroid formula x1+x2+x3/3 and y1+y2+y3/3

Answer 2

Answer:(1,7/3)

Step-by-step explanation

keep any other vertex as A=(x,y). B=(1,1)

center of AB=(-1,2)

but, by vector theorem (x+1)/2=-1

so x=-3

and (y+1)/2=2

so y=3

the center of triangle will be in the line start from vertex to center of any side in 2:1 ratio.

so the center of triangle say C=(p,q)

p =((2×3+1×-3)/3,(2×2+1×3)/3)

p=(1,7/3)