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Given:-
- If two chords are equally Inclined to the diameter, i.e, <LAO = <MAO
- OL Perpendicular to AB & OM Perpendicular to AC.
To Prove :-
- AB = AC
Concept used :-
- if the chords are equidistant from centre then the chords are equal.
Now,
- In ∆OAL and ∆OAM
- → <OAL = <OAM ( given)
- → <OLA = <OMA = 90° ( given)
- →AO = OA ( Common sides )
- Thus, ∆OAL ≈ ∆OAM by ASA Congurency Criteria.
- Therefore, By concept, AB = AC.
Hence, Proved!
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