Asked by Ian
Use what you know about radii, chords, and diameters to identify the correct inequality. In circle A, AB+AC______BC. A. < _. B. >. C. > _D. <.
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GPT-5 mini
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AB + AC ≥ BC.
Reason: AB and AC are radii so AB = AC = r, hence AB + AC = 2r (the diameter). Any chord BC has length ≤ diameter, so BC ≤ 2r. Therefore AB + AC ≥ BC, with equality only when BC is a diameter. (Choose option C.)
Reason: AB and AC are radii so AB = AC = r, hence AB + AC = 2r (the diameter). Any chord BC has length ≤ diameter, so BC ≤ 2r. Therefore AB + AC ≥ BC, with equality only when BC is a diameter. (Choose option C.)
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