AD is a medianand E is the mid point of AD. IF BE is producel to meet

1.	AD is a medianand E is the mid point of AD. IF BE is producel to meet ACisAFACOR
Answer» Given:AD is the median of triangle ABC. E is the mid point of AD.BE produced meet ad at F. to prove:AF=1/3AC. Construction:From point D draw DG parallel to BF. Proof: so by Convere of mid point theorum we get F as the mid point of AG⇒AF=AG(1) similarly we have G as the mid point of CF⇒FG=GC(2) from 1 and 2 we get AF=FG=GC (3) now AF + FG + GC =AC From (3) we getAF+AF+AF=AC 3(AF)=AC AF=1/3AC Like my answer if you find it useful!

AD is a medianand E is the mid point of AD. IF BE is producel to meet ACisAFACOR

Answer»

Given:AD is the median of triangle ABC.

E is the mid point of AD.BE produced meet ad at F.

to prove:AF=1/3AC.

Construction:From point D draw DG parallel to BF.

Proof: so by Convere of mid point theorum we get F as the mid point of AG⇒AF=AG(1)

similarly we have G as the mid point of CF⇒FG=GC(2)

from 1 and 2 we get

AF=FG=GC (3)

now AF + FG + GC =AC

From (3) we getAF+AF+AF=AC

3(AF)=AC

AF=1/3AC

Like my answer if you find it useful!