Question

if the triangle ABC, E is the midpoint of AC and D is the midpoint of CB. If DF is Parallel to BE, Find the length of AB?

Answer 1

so than D is the midpoint of BC and CD is equal 5 so this mean that BC = 10
writing property of sides you get BE/CB = DF/CD so BE/10 = 3/5 so 5BE = 30 so BE = 6
you can writing property of sides so CF/DF = CE/BE so 4/3 = CE/6 so 24=3CE so CE=8

than CE=8 then AC= 16

using property of sides you can writing

AC/BC = AB/BE so 16/10 = AB/6 than 10AB = 96 result AB = 96/10 = 9,6

AB=9,6

hope this will help you