Question

In △ ABC, AD is a median and DE||AB. Prove that BE bisects ∠ B.


Prove with proper format, Given, To prove that, Constructions if required, and Proof.
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Answer 1

Answer:Since AD is the median of ΔABC, then BD = DC.

Step-by-step explanation:

Given,DE || AB and DE is drawn from the mid point of BC i.e.D, then by converse of mid-point theorem,

it bisects the third side which in this case is AC at E.

Therefore, E is the mid point of AC.

Hence, BE is the median of ΔABC.

Hope you understand it.