Предмет: Геометрия, автор: Ekaterina010600

ПРОШУ! ПОМОГИТЕ СРОЧНО! Периметр равностороннего треугольника равен 30 Найдите его площадь деленную на корень из 3.

Ответы

Автор ответа: ВесёлыйСтудент

3

В равностороннем треугольнике все стороны равны.
Из этого следует
30/3 = 10
Известно что длинна каждой стороны равна 10.
Теперь опускаем высоту(АH) из вершины А.
Находим ее значение по теореме любимого Пифогора
AH^2=AC^2 - CH^2.
Так как треугольник равносторонний то CH=5
Считаем:
AH^2=100-25
AH=корень из 75
Теперь находим площадь треугольника
S=0,5 х BC х AH
S=5 корней из 75

Ekaterina010600: Спасибо Вам огромное)

MrLyanda: Длина каждой стороны равна 10 а не 3.

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