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Step-by-step explanation:
We know that a perpendicular drawn from the center of a circle on its chord bisects
the chord.
So, AE = EB
In ΔACE and ΔBCE,
AE = EB
∠AEC = ∠BEC = 90°
CE = CE (common)
Δ ACE ≅ Δ BCE (By SAS congruence)
Therefore, AC = BC (by CPCT)
Hence proved that ABC is an isosceles triangle.
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