Answer:
AB = AC.
Step-by-step explanation:
If two chords are equally Inclined to the diameter, i.e, <LAO = <MAOOL Perpendicular to AB & OM Perpendicular to AC.To Prove :-AB = ACConcept 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.