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Yogita Ingle 4 years, 9 months ago
Let ABCD be a cyclic quadrilateral and AB = CD.
⇒ arc AB = arc CD (Corresponding arcs of the equal chords)
Adding arc AD to both the sides of the equation;
arc AB + arc AD = arc CD + arc AD
∴ arc BAD = arc CDA
⇒ Chord BD = Chord CA
⇒ BD = CA
Hence, when pair of opposite sides of a cyclic quadrilateral are equal, diagonals are also equal.
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Anurag Kumar 4 years, 8 months ago
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