In △ ABC, ab = AC, the vertical bisector of AB intersects at point D and AC intersects at point e. it is known that the perimeter of △ BCE is 8 and ac-bc = 2. The lengths of AB and BC are obtained

In △ ABC, ab = AC, the vertical bisector of AB intersects at point D and AC intersects at point e. it is known that the perimeter of △ BCE is 8 and ac-bc = 2. The lengths of AB and BC are obtained

Because De is perpendicular, then △ ade ≌ △ BDE, be = AE
The circumference of △ BCE = BC + be + CE = BC + AE + CE = BC + AC = 8
Because ac-bc = 2, we can know that AC = 5 and BC = 3