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June 2022
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в треугольнике АВС угол А равен 45 градусов, В равен 60, а ВС=3корень из 2-х. Найдите АС
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NadDer
1) по теореме синусов:
BC / sin A = AC / sin B
откуда АС = ВС * sin B / sin A
AC = 3√2 * √3/2 * √2 / 1 =
3√3
35 votes
Thanks 78
anmih
Извините!
anmih
Verified answer
ВС\sin45 = AC\sin60
AC = BC*sin60\sin45
AC = 3√2 * √3\2 *2\√2
AC = 3√3
71 votes
Thanks 119
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Answers & Comments
BC / sin A = AC / sin B
откуда АС = ВС * sin B / sin A
AC = 3√2 * √3/2 * √2 / 1 = 3√3
Verified answer
ВС\sin45 = AC\sin60AC = BC*sin60\sin45
AC = 3√2 * √3\2 *2\√2
AC = 3√3