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Question
In the figure, chords AE and BC intersect each other at point D. If AD = BD, show that AE = BC.
Solution
Join AB.
If AD = BD ...(i)
We know that:
AD × DE = BD × DC
But AD = BD
Therefore, DE = DC ...(ii)
Adding (i) and (ii)
AD + DE = BD + DC
Therefore, AE = BC
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