In triangle ABC, AC = BC, angle c = 90 degrees, points D and E are on BC and ab respectively, triangle ACD is congruent triangle AED

In triangle ABC, AC = BC, angle c = 90 degrees, points D and E are on BC and ab respectively, triangle ACD is congruent triangle AED

Proof: because ACD is equivalent to AED
So AC = AE
And because AC = BC
So AE = BC
Because AB = AE + be
So AB = BC + be