Предмет: Геометрия, автор: andreyfind13

В равнобедренном треугольнике ABC с основанием AC проведённая из вершины А равна 9 найдите длину стороны АС
СРОЧНО!!!!

Ответы

Автор ответа: Пеппер
3

Ответ:

18 ед.

Объяснение:

Дано: Δ АВС - равнобедренный, АВ=ВС, ∠В=120°, АН - высота, АН=9. Найти АС.

Решение:

В тупоугольном треугольнике высота падает на продолжение противоположной стороны (см. чертеж).

Имеем Δ АСН - прямоугольный.

∠С=(180-120):2=30°

Против угла 30° лежит катет АН=9, поэтому гипотенуза АС=2АН=9*2=18 ед.

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