Question

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

using basic propertional theorem(BPT). it is also a median

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Answer 2

Answer:

in △ABC and △DEC

BC∣∣DC

BA∣∣DE.......(given)

AC∣∣EC then

then ΔABC∼ΔDEC

then ,  

AC/BC = EC/DC

BC=2D c

then AC=2 EC

E is midpoint of AC.

BE is also a median