As shown in the figure, ad and AE are the height and middle line of the triangle ABC respectively, and ab = 8, AC = 5. What is the perimeter of the triangle Abe over the triangle ace? What is the relationship between the area of triangle Abe and triangle ace?

As shown in the figure, ad and AE are the height and middle line of the triangle ABC respectively, and ab = 8, AC = 5. What is the perimeter of the triangle Abe over the triangle ace? What is the relationship between the area of triangle Abe and triangle ace?

1. The perimeter of triangle Abe is longer than that of triangle ace: AB-AC = 3
2、S△ABE=1/2BE×AD
S△ACE=1/2CE×AD
∵BE=CE
∴S△ABE=S△ACE