Question

15. In triangle ABC, AD is the median and DE,
drawn parallel to side BA, meets AC at point
E. Show that BE is also a median.​

Answer 1

reffer image

in △ABC and $$\triangle DEC$$

BC∣∣DC

BA∣∣DE.......(given)

AC∣∣EC then

 then ΔABC∼ΔDEC

 then ,BCAC=DCEC 

BC=2D c

then AC=2 EC

E is midpoint of AC.

BE is also a median.