In triangular pyramid p-abc, PA ⊥ plane ABC, AC ⊥ BC, through a as AE ⊥ PC, then PC to e, verification: AE ⊥ plane PBC

In triangular pyramid p-abc, PA ⊥ plane ABC, AC ⊥ BC, through a as AE ⊥ PC, then PC to e, verification: AE ⊥ plane PBC

Because PA is vertical ABC
So PA vertical BC
And because BC is vertical to AC
So BC vertical plane PAC
So BC vertical AE
And because AE vertical PC
PC to BC at point C
So the AE vertical plane PBC
:)