SOLUTION: ABC is a isosceles triangle in which AB=AC.if E and F be the midpoints of ACand AB respectively .prove that BE =CF

Algebra ->  Triangles -> SOLUTION: ABC is a isosceles triangle in which AB=AC.if E and F be the midpoints of ACand AB respectively .prove that BE =CF       Log On


   



Question 1071512: ABC is a isosceles triangle in which AB=AC.if E and F be the midpoints of ACand AB respectively .prove that BE =CF
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
AB=AC
AE%2BBE=AF%2BCF
Since E and F are the midpoints,
AE=BE and
AF=CF
So then substituting,
BE%2BBE=CF%2BCF
2%2ABE=2%2ACF
Dividing both sides by 2,
BE=CF