过D向三边做垂线,交AB、BC、AC于E、F、GDB是∠ABC的平分线,则DE=DFDC是∠ACB的平分线,则DF=DG所以DE=DG。AD=AD,∠AED=∠ADG=90,三角形ADE全等于三角形ADG。∠BAD=∠CAD