Question

Prove that a line through the midpoint of one side of a triangle parallel to another side bisects the third side.

Answer 1

HEY DEAR ... ✌

____________________________


PROOF IS IN THE PIC ...

HOPE , IT HELPS ... ✌

Answer 2

Hii friend,

GIVEN :- A ∆ABC in which D is the midpoint of AB and DE parallel to BC , Meeting AC at E.

To Prove :- AE = EC

Proof :- Since DE parallel to BC ,by thales's theroem , we have

AE/EC = AD/DB

=> AE/EC = DB/DB. [ Since AD = DB ]

=> AE/EC = 1

=> AE = EC ....... Proved.....



HOPE IT WILL HELP YOU...... :-)