Предмет: Геометрия, автор: MО3Г

С решением пожалуйста :)

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Ответы

Автор ответа: RTA1414
2

Ответ:70

Объяснение:MN=(9+1):2=5, S BCNM=(BC+MN):2*h,где h-высота трапеции BCNM.

(5+1):2 *h=21;

3*h=21;

h=21:3;

h=7.

Т.к. AM=MB и MN║AD  ⇒  по теореме Фалеса h= H:2, где H-высота трапеции ABCD ⇒ H=2h=2*7=14, т.к. AM=MB и MN║AD.

S ABCD= (AD+BC):2*H=(9+1):2*14=70.

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