Question

In triangle abc d is the midpoint of ab line de is ll bc a-e-c prove that point e is midpoint of ac

Answer 1

Answer:

Given-: ∆ ABC in which D is mid point of Line AB and DE ll AC

To prove-: E is mid point of line AC

( AE = EC )

proof-:

In ∆ABC. DE ll AC

AD/DB = AE/EC ( by B.P.T.)

AD/AD = AE/EC. ( since AD = DB )

1= AE/EC

by cross multiplication

AE = EC

therefore E is mid point of AC.

Hence proved