Предмет: Геометрия, автор: очказавр2500

В прямоугольном треугольнике ABC: угол С= 90, АВ= √41 и СА = 4.
Найдите тангенс угла САВ
Желательно с пояснениями

Ответы

Автор ответа: Banabanana

0

По теореме Пифагора:
ВС² = АВ² - АС² = (√41)² - 4² = 41 - 16 = 25
ВС = √25 = 5

Тангенс острого угла в прямоуг. треугольнике - отношение противолежащего катета к прилежащему:
tg∠СAВ = BC/AC = 5/4 = 1,25

Ответ: 1,25.

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