BD is the angular bisector of △ ABC, de ⊥ BC and E. if s △ ABC = 60cm to the second power; ab = 12cm, BC = 18cm, then s △ DBC = - CM & # 178;, de = - cm

BD is the angular bisector of △ ABC, de ⊥ BC and E. if s △ ABC = 60cm to the second power; ab = 12cm, BC = 18cm, then s △ DBC = - CM & # 178;, de = - cm

∵ BD bisection ∠ ABC
∴AD/CD=AB/BC
∵AB=12,BC=18
∴AD/CD=12/18=2/3
∵S△ABC=60
∴S△DBC=S△ABC×3/(2+3)=60×3/5=36(cm²)
∵DE⊥BC
∴S△DBC=BC×DE/2=18×DE/2=9DE
∴9DE=36
∴DE=4(cm)