The height of the regular quadrangular pyramid MABCD is 5, the side of the base is 4. Find the apothem of the pyramid.
| July 19, 2021 | education
The apothem of a regular pyramid is the height of the side face of a regular pyramid, drawn to the side of the base.
Consider a right-angled triangle in which the apothem of the pyramid is the hypotenuse, one of the legs is the height of the pyramid, the second leg is half the side of the base. The sum of the squares of the legs is equal to the square of the hypotenuse: 5 ^ 2 + 2 ^ 2 = 25 + 4 = 29.
Apothem is √29, which is approximately 5.385.
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