Предмет: Геометрия, автор: mryulia414

СРОЧНО, ДАЮ 50!!!!
Відстань від точки М до всіх вершин квадрата дорівнює 5 см.Знайдіть відстань від точки М до площини квадрата, якщо діагональ квадрата дорівнює 6 см.

Ответы

Автор ответа: hanebro4
1

Ответ:

по условию расстояние от точки М до всех вершин квадрата ABCD  =5 см, => перпендикуляр ОМ проектируется в центр квадрата.

прямоугольный ΔМОС:

катет ОС=3 см  (6/2) - (1/2) диагонали квадрата

гипотенуза МС=5 см - расстояние от точки М до вершин квадрата

катет ОМ найти - расстояние от точки М до плоскости квадрата

по теореме Пифагора:

5²=3²+ОМ²

ОМ=4

ответ: расстояние от точки М до плоскости квадрата 4 см

Объяснение:

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