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avilika
@avilika
March 2022
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Помогите решить 4 задание.
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cattacat
По т.косинусов: с² = 16² + 8² - 2*8*16*cos(40°) = 8² * (4+1-4*0.766) = 8² * (5-3.064) = 8² * 1.936
с = 8 * √1.936 ≈≈ 8 * 1.4 ≈≈ 11.2
по т.синусов 16 / sinA = 11.2 / sin(40°) --->
sinA = 16*sin(40°) / 11.2 ≈≈ 1.43*0.643 ≈≈ 0.9183
∠A ≈≈ 67°
∠B = 180° - 40° - 67° = 140° - 67° ≈≈ 73°
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LFP
Verified answer
По теореме косинусов:
с²=8²+16²-2*8*16*cos40°=64+256-256*0,76=64+256-194,56=125,44
c²=125,44
c=11,2
2 votes
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Answers & Comments
с = 8 * √1.936 ≈≈ 8 * 1.4 ≈≈ 11.2
по т.синусов 16 / sinA = 11.2 / sin(40°) --->
sinA = 16*sin(40°) / 11.2 ≈≈ 1.43*0.643 ≈≈ 0.9183
∠A ≈≈ 67°
∠B = 180° - 40° - 67° = 140° - 67° ≈≈ 73°
Verified answer
По теореме косинусов:с²=8²+16²-2*8*16*cos40°=64+256-256*0,76=64+256-194,56=125,44
c²=125,44
c=11,2