Let’s draw diagonals at the base of the pyramid.
Since the pyramid is correct, there is a square at its base. The diagonal of the square is:
AC = a * √2, where a is the length of the side of the square.
AC = AD * √2 = 4 * √2 cm.
The diagonals of the square, at the intersection point, are divided in half, then AO1 = AC / 2 = 4 * √2 / 2 = = 2 * √2 cm.
In the right-angled triangle OO1A, the hypotenuse OA is the lateral edge of the pyramid.
OA ^ 2 = O1A ^ 2 + OO1 ^ 2 = (2 * √2) ^ 2 + 3 ^ 2 = 8 + 9 = 17.
ОА = √17 cm.
Answer: The length of the side ribs of the pyramid is √17 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.