由点B作CD垂线,相较于点E,则:
BE垂直于面ACD,即BE为所求距离,平面ACD和平面BCD夹角为 ∠AEB;
S△ACD * cos ∠AEB = S△BCD = 5√3
∴0.5 * AE *CD * cos ∠AEB = 5√3,
又AE * cos ∠AEB = BE,CD=5,
∴0.5 * 5 * BE=5√3,
BE= 2√3
由点B作CD垂线,相较于点E,则:
BE垂直于面ACD,即BE为所求距离,平面ACD和平面BCD夹角为 ∠AEB;
S△ACD * cos ∠AEB = S△BCD = 5√3
∴0.5 * AE *CD * cos ∠AEB = 5√3,
又AE * cos ∠AEB = BE,CD=5,
∴0.5 * 5 * BE=5√3,
BE= 2√3