If the vertices of a triangle Δ A B C \Delta ABC Δ A BC are A ( 1 , 3 ) , B ( 3 , 5 ) , and C ( x , y ) A(1, 3), B(3, 5), \text{and } C(x, y) A ( 1 , ...

Question

If the vertices of a triangle

ΔABC\Delta ABC
are
A(1,3),B(3,5),and C(x,y)A(1, 3), B(3, 5), \text{and } C(x, y)
and the centroid is
(113,163)\left(\frac{11}{3}, \frac{16}{3}\right)
, then find the values of
(x,y)(x, y)
.

Options

A.

(8, 7)

B.

(7, 8)

C.

(4, 8)

D.

(7, 7)

cuet 2023variable solvingcentroid formulatriangle verticescoordinate geometry

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