Given that Z is the centroid of a triangle RST. This means that Z is the point of intersection of the three medians of the triangle. So,W is the midpoint of RSV is the midpoint of RT We are given that: RV = 4x + 3 and VT = 2x + 9 Since V is the midpoint, then:RV = VT 4x + 3 = 2x + 9 4x - 2x = 9 - 3 2x = 6 x = 3 Now put the value of x in WS = 5x-1 WS = 5x-1 WS = 5(3) - 1 WS = 15 - 1 = 14 WS = 14 Since W is the midpoint of RS, therefore RW = WS and WS = 14 Therefore:RW = 14
