Question

If (1, 4) is the centroid of triangle whose vertices are (a, 3), (4, b) and

(-3, 2) then a = _______________ . (2, 4, 6)​

Answer 1

Answer:

a=2

Step-by-step explanation:

Centroid of triangle = [(x1+x2+x3)/3 ‌, (y1+y2+y3)/3] --(1)

Here, we have x1=a, X2=4, x3=-3, y1=3, y2=b, y3=2

And, Centroid = (1,4)

-> [(a+4-3)/3 , (3+b+2)/3] = (1,4) {From (1)}

-> (a+1)/3 = 1 ; (5+b)/3=4

-> a+1=3 ; 5+b=12

-> a = 2; b = 7

Thus, a = 2

HOPE IT HELPS YOU!