Question

A(h,-6),B(2,3) and C(-6,k) are th co ordinates of a triangle whose centroid id G(1,5). Find h.​

Answer 1

Answer:

A(x1,y1 =A(h,−6)

B(x2,y2)=B(2,3)

C(x3,y3)=C(−6,k)

∴ centroid G (x, y) = G (1, 5)

G is the centroid.

By centroid formula,

$x = \frac{x1 + x2 + x3}{3}$

$1 = \frac{h + 2 - 6}{3}$

∴3=h+2−6

∴3=h+4

∴h=3+4

∴h=7

$y = \frac{y1 + y2 + y3}{3}$

$5 = \frac{ - 6 + 3 + k}{3}$

∴15=−3+k

∴k=15+3

∴k=18

∴h=7 and k=18

Hope this answer helps you out.