From Gogeometry
Using :
- Define J in FG such as JG ⊥ JB
- => JB=GD
- ED//BF => ∠JBF=∠HDE
- In ΔHDE, ∠HDE + ∠DEH =90°
- => in ΔJBF, ∠JBF + ∠BFJ =90° =>∠JFB = ∠HED
- FB=DE => ΔJBF is congruent to ΔHDE (AAA)
- => JB=HD
- =>GD=HD
- Therefore a=b
From Gogeometry
Using :