Question

В правильной шестиугольной пирамиде боковое ребро равно 19,5 а сторона основания 7,5 найти высоту пирамиды

Answer 1

Решение во вложении. Ответ: 18.

Answer 2

Calculation of the Height of the Hexagonal Pyramid

To find the height of the hexagonal pyramid, we can use the formula for the height of a regular pyramid:

Height of the pyramid (h) = √(a^2 - (s/2)^2)

Where: - a is the length of the base side - s is the length of the slant height (the lateral edge)

In this case, the length of the base side (a) is given as 7.5 and the length of the slant height (s) is given as 19.5.

Substituting these values into the formula, we can calculate the height of the pyramid:

h = √(7.5^2 - (19.5/2)^2)

Let's calculate this:

h = √(56.25 - 95.0625) h = √(-38.8125)

Since the value under the square root is negative, it means that the given dimensions do not form a valid hexagonal pyramid. Please double-check the values provided for the base side and slant height.

If you have any further questions, feel free to ask!