Question

Find the 3rd vertex of a triangle whose centroid is (1,1) and two vertices are (1,-4)and (3,-4)

Answer 1

Step-by-step explanation:

we have,two vertices of A triangle are.., (1,-4),(3,-4)

let the third vertice of a triangle is (x,y) ,

we have formula to find the centroid of a triangle is, (x+y+z)/3

and we have given the centroid is (1,1)

so, acc. to question condition,

(x+1+3)/3 = 1

x+4 = 3

so, x = -1

and also, (y-4-4)/3 = 1

y-8 = 3

so, y = 11

So, we have the third vertice of a triangle is (-1,11) .....ans