As shown in the figure, BD is the height on the side of equilateral △ ABC, extend BC to e, so that CE = CD, (1) try to compare the size relationship between BD and De, and explain the reason; (2) if BD is changed to the angular bisector or median line of △ ABC, can we draw the same conclusion?

As shown in the figure, BD is the height on the side of equilateral △ ABC, extend BC to e, so that CE = CD, (1) try to compare the size relationship between BD and De, and explain the reason; (2) if BD is changed to the angular bisector or median line of △ ABC, can we draw the same conclusion?

(1) BD = De, ∵ ABC is equilateral triangle, ∵ Ba = BC, ∵ ABC = ∵ ACB = 60 ° and ∵ BD is the height of AC side, ∵ 1 = ∵ 2 = 12 ∵ ABC = 30 °, ∵ CE = CD, ∵ CDE = ∵ CED, and ∵ ACB = ∵ CDE + ∵ CED = 60 °, ∵ CDE = ∵ CED = 30 °,