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anonymous
 one year ago
Use the law of cosines and the law of sines to solve for all missing parts of triangle ABC when side a = 20, side b = 12, and side c = 14.
anonymous
 one year ago
Use the law of cosines and the law of sines to solve for all missing parts of triangle ABC when side a = 20, side b = 12, and side c = 14.

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mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The law of cosines is used when we have a. three known sides, or b. two sides and the included angle. The law of sines is used when we have  one side and the opposite angle, together with either one angle or one side. Certain restrictions apply.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0first use cosine formula to find an angle and then find other angles by sine formula.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1If you are given three sides, you would use the cosine rule to find TWO of the three angles, and find the third one by subtracting from 180. This is because the sine rule results in ambiguities in certain cases of obtuse angles. If you absolutely prefer the sine rule (less multiplications) as the second step, you could take precautions as follows: 1. find the angle opposite the longest side (hence the largest angle) by the cosine rule. The angle will be correct whether it is acute or obtuse. 2. find the smallest angle (opposite the shortest side) by the sine rule 3. subtract both from 180 to find the third angle.
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