Предмет: Геометрия, автор: anigdott

!!! СРОЧНО ПЖ !!!
діагоналі паралелограма 10 см і 6 см, а кут між ними 120 градусів. Знайти сторону паралелограма, яка лежить навпротии цього кута!!!

Ответы

Автор ответа: Пеппер
0

Ответ:

8 см.

Объяснение:

Дано: КМРТ - паралелограм, КР=10 см, МТ=6 см, ∠МОР=120°. Знайти МР.

Діагоналі паралелограма в точці перетину діляться навпіл.

МО=3 см,  ОР=5 см.

За теоремою косинусів

МР²=МО²+ОР²-2*МО*ОР*сos120°=9+25-2*3*5*(-0,5)=34+30=64

МР=√64=8 см

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