A triangle ABC must be constructed with A = 40°, a = 3.6 feet, and c= 5.5 feet. The solutions for the other two angles were found to be B= 60.9° and C= 79.1. One angle was found using Law of Sines; the other was found using subtraction from 180°. Is there another possible solution? YES NO Why? If so, what are the other measures that angles B and C can have?

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A triangle ABC must be constructed with A = 40°, a = 3.6 feet, and c = 5.5 feet.
The solutions for the other two angles were found to be B = 60.9° and C= 79.1°. One angle was found
using Law of Sines; the other was found using subtraction from 180°.
Is there another possible solution?
YES
NO
Why?
If so, what are the other measures that angles B and C can have?
Transcribed Image Text:(c) A triangle ABC must be constructed with A = 40°, a = 3.6 feet, and c = 5.5 feet. The solutions for the other two angles were found to be B = 60.9° and C= 79.1°. One angle was found using Law of Sines; the other was found using subtraction from 180°. Is there another possible solution? YES NO Why? If so, what are the other measures that angles B and C can have?
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