∵BD⊥AC,CE⊥AB
∴∠ADB=∠AEC=90
∵∠BAD=∠CAE,BD=CE
∴△ABD≌△ACE (AAS)
∴AC=AB
∵AB=16
∴AC=16
2、AO平分∠BAC
证明:
∵△ABD≌△ACE
∴AD=AE
∵AO=AO
∴△ADO≌△AEO (HL)
∴∠DAO=∠EAO
∴AO平分∠BAC
∵BD⊥AC,CE⊥AB
∴∠ADB=∠AEC=90
∵∠BAD=∠CAE,BD=CE
∴△ABD≌△ACE (AAS)
∴AC=AB
∵AB=16
∴AC=16
2、AO平分∠BAC
证明:
∵△ABD≌△ACE
∴AD=AE
∵AO=AO
∴△ADO≌△AEO (HL)
∴∠DAO=∠EAO
∴AO平分∠BAC