14. In the given figure, ∆ABC is an isosceles triangle in which AB = AC. If AB and AC are produced to D and E, respectively such that BD = CE, prove that BE = CD.
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in triangle ADC & triangle ABE
AD=AE (SINCE AB=AC & CE=BD)
ANGLE DAE IS COMMON
AB = AC (GIVEN)
Therefore triangle ADC is congruent to triangle ABE (SAS)
therefore BE=CD
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