Предмет: Математика, автор: Polina1739

В равнобедренной трапеции высота образует с боковой стороной угол в 30 градусов, а её основания равны 12 и 8 см . Найдите периметр трапеции.

Ответы

Автор ответа: angeliquehijoroyqug4

0

Провести высоту из вершин В и С. Высоты обозначим ВК и СН. ВС=КН=8 см
Трапеция равнобедренная поэтому следует, что АК=МD=(12-8)/2=2 см.
АВК -прямоугольный треугольник, угол В=30 градусов. Катет лежащий напротив угла 30 градусов, равен половине гипотенузы. Следовательно АВ=4 см. Периметр=8+12+4+4=28 см^2

Автор ответа: Chemistry0forever

1

Сторона,лежащая против угла в 30° равна половине гипотенузы

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