Предмет: Геометрия, автор: Ирина755

В равнобедренной трапеции найдите:

б) боковую строну, если основания равны 6 корней из 2 и 4 корней их 2, а острый угол равен 45 гр

Ответы

Автор ответа: 250705v
0

в трапеции ВСДЕ  СК перпедикулярно ВЕ, ДМ перпендикулярно ВЕ, СД=КМ=4 корней из2. сл-но, ВК=МЕ,т.к. трапеция равнобедренная, ВК=СЕ=(6 корней из2-4 корней из 2):2= корень из 2. Так как острый угол равен 45 град, то в прчмоугольном треугольнике ВСК и угол С= 45 град, сл-но, ВК=СК=корень из 2. По теореме пифагора ВС квадрат= Ск квадрат + ВК квадрат+корень из двух в квадрате+ коркнь из 2 в квадрете=2+2=4, значит ВС=корень из 4 =2 см.

ответ Вс=2 см.

 

 

 

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