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D is a point on the circumcircle of Delt...

`D` is a point on the circumcircle of `Delta ABC` in which `AB=AC` such that `B` and `D` are on opposite sides of line `AC`. If `CD` is produced to a point `E` such that `CE=BD`, prove that `AD=AE`.

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In `Delta ABD` and `DeltaACE`, we have
`AB=AC`(given)
`BD=CE` (given)
`therefore angle 1 =angle 2` (angles in same segment )
`rArrDeltaABDcongDeltaACE` (SAS congruency)
`rArrAD=AE`(c.p.c.t).
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