Question

Given that B is the centroid of triangle VWX find ZV

Answer 1

The answer will be 12

Answer 2

12

Explanation:

∵ B is the centroid of ΔVWX

∴A is the mid-point of XV

∴2x + 1 = x + 3

∴2x - x = 3 - 1

∴x = 2

∵BV = 3x + 2

∴BV = 3(2) + 2 = 8

∵B is the centroid of Δ VWX

∴B divides ZV to the ratio 2 : 1 from the vertex V

∴BV = 2/3 ZV

∴
`8=(2)/(3)ZV`

∴
`ZV=(3)/(2)(8)`

∴
`ZV = (24)/(2) =12`