Question

Two vertices of Δabc are A(-1,4)and B(5,2) and it's centroid is G (0,-3), then the coordinates of C are .........

Answer 1

(4,-15) is the answer

Answer 2

GIVEN :

• IN ΔABC A(1,4) , B(5,2) AND CENTROID G(0,-3)

TO FIND :

• COORDINATES OF C

SOLUTION :

LET COORDINATES OF C BE (x₃ , y₃ )

A( -1,4) B(5,2)

x₁,y₁ x₂,y₂

CENTROID = [ (x₁+x₂+x₃) / 3 , (y₁+y₂+y₃) / 3 ]

=> (x₁+ x₂+x₃) / 3 = 0 ; (y₁+y₂+y₃) / 3 = -3

=> ( -1+5+x₃) / 3 = 0 ; (4+2+y₃) / 3 = -3

=> (4 + x₃) = 0 ; (6 + y₃) = -9

=> x₃ = -4 ; y₃ = -15

∴ COORDINATES OF C(x₃,y₃) = (-4,-15)

HOPE IT HELPS!!!!