If AB = AC = 10 in △ ABC is known, de bisects AB vertically and intersects AC with E. if the perimeter of △ BEC is known to be 16, find the perimeter of △ ABC

If AB = AC = 10 in △ ABC is known, de bisects AB vertically and intersects AC with E. if the perimeter of △ BEC is known to be 16, find the perimeter of △ ABC

∵ de vertically bisects AB, ∵ AE = be, ∵ CE + be = CE + AE = AC, and the perimeter of △ BEC is 16, ∵ AC + BC = 16 ∵ BC = 16-10 = 6 ∵ ABC is BC + AC + AB = 10 + 10 + 6 = 26