如图AB=AC,BD=CD,DE⊥BA,点E为垂足,DF⊥AC,点F为垂足,求证:DE=DF

2025-05-14 09:27:17
推荐回答(1个)
回答1:

证明:在△ABD和△ACD中,

AD=AD
BD=CD
AB=AC

∴△ABD≌△ACD(SSS),
∴∠BAD=∠CAD,
∵DE⊥BA,DF⊥AC,
∴DE=DF.