It is known that in the trapezoid ABCD. Ab | CD. E is the midpoint of BC. The angular extension line of the straight line AE intersecting DC is at point F D``C`````F `````````` `````E ```````` ````````` A````````B | Math enthusiast | Mathematical art

It is known that in the trapezoid ABCD. Ab | CD. E is the midpoint of BC. The angular extension line of the straight line AE intersecting DC is at point F D``C`````F `````````` `````E ```````` ````````` A````````B

Known CE = be
In addition, CEF = bea
From AB / / CF, we can see that BCF = Abe
So according to the angle edge theorem
Triangle Abe is equal to triangle FCE

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