Дано:АВСД-прямоугольная трапеция.СД=10см;АВ=8см;АД=14см.Найти:S=?

Дано:АВСД-прямоугольная трапеция.СД=10см;АВ=8см;АД=14см.Найти:S=?
- Предмет:
  Математика
- Автор:
  аноним
- 3 года назад

Ответы 1

Решение задачи:
Опустим высоту СМ и рассмотрим треугольник МСD.
CM = AB = 8 cм.
MD² = CD² - CM²;
MD² = 10² - 8² = 100 – 64 = 36;
MD = √36 = 6 см.
1. Определим сторону BС.
ВС = AМ;
AМ = AD – MD;
АМ = 14 – 6 = 8 см;
BС = 8 см.
1. Определим площадь трапеции.
S = (AD + BC) : 2 * AB;
S = (14 + 8) : 2 * 8;
S = 88 cм².
Ответ: площадь трапеции 88 cм².
- Автор:
  daxwqf4
- 3 года назад
- 0
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