Предмет: Геометрия, автор: nnikto839

Геометрия, помогите, на оценку

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Ответы

Автор ответа: goldaserya

Ответ:

132 см.

Объяснение:

АВСД-равнобедренная трапеция с основаниями АД и ВС.

Опустим высоты ВН и СМ.

1)Найдём АН.

АН=(АД-НМ):2=(АД-ВС):2=(49-15):2=17(см).

2)В треугольнике АНВ угол Н=90 град, т.к. ВН-высота, угол А=60 град(по условию).

Следовательно угол В=30 град. Это значит, что мы можем найти сторону АВ по следующему свойству: "В прямоугольном треугольнике против угла в 30 град лежит сторона равная половине гипотенузы", т.е. гипотенуза АВ=2*АН=2*17=34(см)

3)Периметр трапеции Р=АД+АВ+ВС+СД=49+34+15+34=132(см)

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