Предмет: Геометрия, автор: katiavitskova

У правильній трикутнiй пірамідi сторона основи дорівнює 3√3 см, а бiчне ребро - 5 см. Чому дорівнює висота піраміди?​

Аноним: 4..

Ответы

Автор ответа: Аноним
0

Ответ:

4см

Объяснение:

AO=R, радиус описанной окружности.

AO=AB/√3=3√3/√3=3см.

∆АSO- прямоугольный треугольник

По теореме Пифагора

SO=√(AS²-AO²)=√(5²-3²)=√(25-9)=√16=4см

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