In the regular triangular pyramid p-abc, e f is the midpoint of the side edges Pb and BC respectively, and AE ⊥ EF, PA = root 2 to calculate the volume

Make the midpoint D of AB, connect PD and CD, because PA = Pb, AC = BC, so ab ⊥ PD, ab ⊥ CD, then ab ⊥ plane PCD, get ab ⊥ PC from PC in plane PCD, because EF is the midpoint of Pb and BC, so EF / / PC and AE ⊥ EF, so AE ⊥ PC because AE and ab are two intersecting lines in plane PAB, so PC ⊥ plane PAB is PC ⊥

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1. As shown in the figure, BD is the bisector of ∠ ABC, de ⊥ AB is at point E, ab = 36cm, BC = 24cm, s △ ABC = 144cm, then the length of De is______ ．
2. BD is the bisector of angle ABC, De is perpendicular to e, ab = 46, BC = 24, s △ ABC = 144
3. As shown in the figure, BD is the bisector of ∠ ABC, de ⊥ AB is at point E, ab = 36cm, BC = 24cm, s △ ABC = 144cm, then the length of De is______ ．
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9. As shown in the figure, in △ ABC, BD bisects ∠ ABC, and BD ⊥ AC intersects D, de ∥ BC intersects AB at E. AB = 5cm, AC = 2cm, then the perimeter of △ ade=______ cm．
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