∴∠ADB=∠CEB=90 degree

∴∠C+∠CBE=90 degrees, C+∠CAD=90 degrees.

∴∠CBE=∠CAD

∴⊿BDH∽⊿ADC

∵⊿ABD is a right triangle, ∠ ABC = 45 degrees.

∴∠BAC=45

∴BD=AD

∴⊿BDH≌⊿ADC

∴BH=AC

(2)∵BE is the height of the triangle.

∴BE⊥AC

He's back.

∴BH⊥AC