Question

Two vertices of a triangle are(4,6)&(-6,3)& its centroid is(-2/3,3) find its thrird vertices​

Answer 1

Let P(3,-5) and Q(-7,4) be the two vertices of a triangle . Centroid of a triangle is

G(2,-1).

The coordinates of the centroid of △ABC is (x1+3-7/2 , y1-5+4/3) = (2,1)

(x1-4/3 , y1-1/3) = (2,-1)

x1 = 6+4, y1 = -3+1

x1 = 10, y1 = -2

∴ The third vertex is (10,2).

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