In equilateral △ ABC, points D and E are on edges BC and ab respectively, and BD = ae

In equilateral △ ABC, points D and E are on edges BC and ab respectively, and BD = ae

It is proved that in △ ABC, CA = AB, ∠ CAE = ∠ abd, and ∵ AE = BD, in △ CAE and △ abd, AE = BD, B = ∠ caeca = AB, ≌ CAE ≌ Δ abd (SAS), ad = CE