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kodade
@kodade
August 2022
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В треугольнике АВС : угол С=90, ВС=2√6, АВ=2√30. Найдите tgА
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анька242
tgA = BC/AC.
Найдем АС из теоремы Пифагора, т.к. AB^2 = AC^2 + BC^2
AC^2 = AB^2 - BC^2
AC^2 =
(2√30)^2 -
(2√6)^2 = 120 - 24 = 96
AC = 4
√6
Тогда tgA =
(2√6)/(4
√6) =
1/2
Ответ: 1/2.
1 votes
Thanks 2
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Answers & Comments
Найдем АС из теоремы Пифагора, т.к. AB^2 = AC^2 + BC^2
AC^2 = AB^2 - BC^2
AC^2 = (2√30)^2 - (2√6)^2 = 120 - 24 = 96
AC = 4√6
Тогда tgA = (2√6)/(4√6) = 1/2
Ответ: 1/2.