Предмет: Геометрия, автор: lanass73

1.Две стороны треугольника равны 2 корня из 3 и 6,
а угол между ними 150°. Найдите третью сторону треугольника.
.
СРОЧНО.ДАЮ 20 БАЛЛОВ

Ответы

Автор ответа: GovyajiyDoshik
4

Ответ:

c = 2√21

Объяснение:

Дано:

a = 2√3

b = 6

α = 150°

c - ?

Решение:

По теореме косинусов, c² = a²+b²-2ab*cos(α) = 12+36-24√3 * (-√3/2) = 12+36+36 = 84

c = √84 = 2√21

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