Question

Prove that a line drawn through the midpoint of two sides parallel to the third side

Answer 1

This is your answer.

Answer 2

Given :

Assuming

ΔABC

• DE║BC

• D is mid point of AB

To Prove :

⇒ E is the mid point of AC

Proof :

⇒ In ΔABC

→ DE║BC

→ AD/DB = AE/EC

→ DB/DB = AE/EC

→ 1 = AE/EC

→ EC = AE

⇒ E is the mid point of AC

$\huge\boxed{Hence*Proved}$