geometry

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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 -

    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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