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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 proudced to a point E such that `CE=BD`, prove that `AD=AE`.

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To prove that \( AD = AE \), we will use the properties of congruent triangles. Here’s the step-by-step solution: ### Step 1: Identify the Given Information We are given: - \( AB = AC \) (since triangle \( ABC \) is isosceles) - \( CD \) is extended to point \( E \) such that \( CE = BD \) - \( B \) and \( D \) are on opposite sides of line \( AC \) ...
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