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aleko1999
@aleko1999
July 2022
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В треугольнике АВС b=0,3 , угол А = 32 градуса , угол В =70 градусов. Найдите неизвестный элемент треугольника.
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KuOV
Verified answer
∠С
= 180° - ∠А - ∠В = 180° - 32° - 70°
= 78°
по теореме синусов:
b/sin∠B = a/sin∠A
a
= b · sin∠A/sin∠B = 0,3 · sin32°/sin70° ≈ 0,3 · 0,5299/0,9397
≈ 0,17
b/sin∠B = c/sin∠C
c
= b · sin∠C/sin∠B = 0,3 · sin78°/sin70° ≈ 0,3 · 0,9781/0,9397
≈ 0,31
7 votes
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Verified answer
∠С = 180° - ∠А - ∠В = 180° - 32° - 70° = 78°по теореме синусов:
b/sin∠B = a/sin∠A
a = b · sin∠A/sin∠B = 0,3 · sin32°/sin70° ≈ 0,3 · 0,5299/0,9397 ≈ 0,17
b/sin∠B = c/sin∠C
c = b · sin∠C/sin∠B = 0,3 · sin78°/sin70° ≈ 0,3 · 0,9781/0,9397 ≈ 0,31