帮忙解一道初三相似题如图,△ABC中,AD⊥BC于点D,BE⊥AC于点E,AD与BE交于点P,连接DE,证明△APB∽△EPD

Question

帮忙解一道初三相似题
如图,△ABC中,AD⊥BC于点D,BE⊥AC于点E,AD与BE交于点P,连接DE,证明△APB∽△EPD

Answer 1

∵BE⊥AC,AD⊥BC
∴ △PDB∽△PEA
∴AP:PB=PE:PD
又∵∠APB=∠EPD
∴△APB∽△EPD