Posted by **TUHITUHI** on Wednesday, August 15, 2012 at 12:32pm.

ABC IS a isoceles triangle in which AB=AC 'IF AB and AC are produced to D and E respectively such that AB = CE.prove that BE =CD

- geometry -
**Steve**, Wednesday, August 15, 2012 at 2:07pm
You don't say, but seem to imply that AB=BD. That is, you haven't said anything about how far AB is extended.

It appears that DE is parallel to BC.

In triangle BCE and CBD,

BC = CB

angle BCE = angle CBE

CE = BD

So, by SAS, the triangles are congruent.

Thus, BE=CD

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