Question

E is the midpoint of the median AD of triangle
ABC and BE is produced to meet AC at F. Show that
AF = 1/2 AC
​

Answer 1

Answer:

I think this question has a mistake instead of AF = 1/2 AC. It will AF =1/3AC. I am giving you the answer of right question.

Step-by-step explanation:

Given:E is the midpoint of median AD.

To prove : AF = 1/3 AC.

Const : Draw a line from D parallel to BF and meet AC at G.

Proof : In BFC

D is the midpoint of BC and DG is parallel to Bf

Therefore, by converse mid-point theorem, G is the midpoint of FC.

In ADG

E is the midpoint of AD and EF is parallel to GD.

Therefore, F is the midpoint of AG.

AF+FG+GC = AC

AF=FG=GC

3AF = AC

AF = 1/3AC

Hence, proved.

Please mark it as the brainliest fi you are satisfied with this.