As shown in the figure, two points B and C divide the line ad into three parts: 2:3:4. E is the midpoint of the line ad, CD = 12cm, and find the length of CE

As shown in the figure, two points B and C divide the line ad into three parts: 2:3:4. E is the midpoint of the line ad, CD = 12cm, and find the length of CE

A -- B -- E -- C -- d let AB = 2x ∵ AB: BC: CD = 2:3:4, ab = 2x ∵ BC = 3x, CD = 4x ∵ CD = 12 ∵ 4x = 12 ∵ x = 3 ∵ AC = AB + BC = 2x + 3x = 5x = 15ad = AB + BC + CD = 2x + 3x + 4x = 9x = 27 ∵ e be the midpoint of ad ∵ AE = ad / 2 = 27 / 2 ∵ CE = ac-ae = 15-27 / 2