D is a point on the circumcircle of ∆ABC in which AB=AC such that B and D are on the opposite side of line AC. If CD is produced to a point E such that CE=BD, prove that AD=AE.
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⏩ We have,
AB=AC and CE=BD
In ∆'s ABD and ACE, we have
→ AB=AC (Given)
→angle ABD= angle ACE (angles in the same segment)
→BD= CE (Given)
So, by SAS congruence criterion, we obtain
∆ ABD is congruent to ∆ ACE
=> AD= AE (CPCT)
✔✔✔✔✔✔✔✔
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