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.Com
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)   (Show Source): You can put this solution on YOUR website!


Since E and F are the midpoints,
and

So then substituting,


Dividing both sides by 2,


RELATED QUESTIONS

If D , E and F are the midpoints of sides AB , BC , and CA respectively of an isosceles... (answered by ccs2011)
If D , E and F are the midpoints of sides AB , BC , and CA respectively of an equilateral (answered by richard1234)
Help!!!! Note that the three medians appear to intersect at the same point! Let's... (answered by greenestamps)
ABC is a triangle right angled at B let D and E be any points on AB and BC respectively (answered by Edwin McCravy)
Given:Triangle ABC, M and N are the midpoints of AB and AC respectively. Prove: triangle... (answered by ramkikk66)
Triangle ABC is isosceles with AB = AC. Let D be the foot of the altitude from A on BC,... (answered by math_helper)
In a triangle ABC , BC=24 and angle A=60 degree . D ,M are the points on side AC and E , (answered by Edwin McCravy)
In triangle ABC, E and F are midpoints of sides line AB and line AC, respectively; and H... (answered by KMST)
Let D, E, and F be points on the sides BC, CA, and AB respectively of triangle ABC such... (answered by richard1234)