In a regular triangular pyramid, the height is 2 and the apothem is 4, find the side of the base.
| January 2, 2021 | education
The radius of the circle circumscribed about the base of the pyramid is found by the Pythagorean theorem:
R = √ (4 ^ 2 – 2 ^ 2) = √ (12) = 2 * √ (3).
The side of a regular triangle inscribed in a circle is found by the formula:
a = R * √ (3) = 2 * √ (3) * √ (3) = 2 * 3 = 6.
The base side is 6.
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