As shown in the figure, in △ ABC, the vertical bisector of BC intersects AB at point E. if the perimeter of △ ABC is 10 and BC = 4, then the perimeter of △ ace is______ .

As shown in the figure, in △ ABC, the vertical bisector of BC intersects AB at point E. if the perimeter of △ ABC is 10 and BC = 4, then the perimeter of △ ace is______ .

The vertical bisector of ∵ BC intersects AB at point E, ∵ be = CE, ∵ ABC has perimeter of 10, BC = 4, ∵ ace has perimeter of AE + CE + AC = AE + be + AC = AB + AC = AB + AC + bc-bc = 10-4 = 6