Предмет: Информатика, автор: king2314

Составить алгоритм действи по нахождению площади трапеции если известна высота и одна из сторон

Ответы

Автор ответа: artem228artem

Попробуй так:
АВСD - трапеция. АD и ВС - основания
Проводим СК параллельно АВ. Тогда АВСК - параллелограмм. Противоположные стороны его равны. Значит, СК = АВ, АК = ВС.
Находим КD:
KD = АD - АК
В треугольнике КСD все сторны известны. Можно найти его площадь по формуле Герона.
А потом h = 2S / KD.
Высота треугольника КСD будет и высотой трапеции.

Если же боковые стороны трапеции равны, то есть трапеция равнобокая, то треугольник КСD будет равнобедренным. Тогда высота будет и медианой, а значит поделит отрезок КD пополам. И высоту находим, использовав теорему Пифагора.

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