Part (a): We are given that Z is the <span>centroid of triangle RST. This means that Z is the point of intersection of the three medians of the triangle. In other words: W is the midpoint of RS V 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
Part (b): We are given that: WS = 5x-1 x = 3 Therefore: WS = 5(3) - 1 WS = 15 - 1 = 14
Part (c): Since W is the midpoint of RS, therefore RW = WS We calculated WS = 14 Therefore: RW = 14