Предмет: Геометрия, автор: kirapodkopaeva127

2. Знайди: а) середню лінію трапеції з основами 10 см та 14 см; б) у якій діагональ дiлить середню лінію на відрізки довжиною 4 см та 6 см. 23 см одна з основ трапеш бiльш основи трапец

Ответы

Автор ответа: Sla633

Ответ:

розв'яжемо задачу

Объяснение: а.

нехай ми маємо трапеціюАВСD, та середню лінію KP. Запишемо умову

Дано: ABCD-трапеція; КР-середня лінія; АВ=10см, DC=14см.

Знайти:KP, середню лінію

Розв'язання: за властивістю трапеції, КР=АВ+DC/2=10+14/ 2= 12см

Відповідь:12см

Розв'яжемо задачу б

нехай ми маємо трапецію АВСD, середню лінію КР та діагональ АС. Запишемо умовуД

Дано:АВСD-трапеція, КР-середня лінія. КО-6см,ОD-4см; АС-діагональ

Знайти:DC,AB

Розв'язання: за властивістю трапеції, DC=KO×2=12см, АВ=ОР×2=8ссм

Відповідь:8см;12см

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