In the acute triangle ABC, be is perpendicular to AC, D is the upper point of AB, angle ade = angle c, s triangle ade area is S1, and △ ABC area is S2, then S1 / S2 is

In the acute triangle ABC, be is perpendicular to AC, D is the upper point of AB, angle ade = angle c, s triangle ade area is S1, and △ ABC area is S2, then S1 / S2 is

If the title is "Abe = ∠ C"
S triangle ABC = 1 / 2 (AC × be)
S triangle Abe = 1 / 2 (AE × be)
Be perpendicular to AC
∴AE=1/2AC
S triangle ABC: s triangle Abe = S1: S2 = 2:1