In a regular quadrangular pyramid, the side of the base is 8, the root of 2, and the height

univerkov | March 5, 2021 | education

In a regular quadrangular pyramid, the side of the base is 8, the root of 2, and the height of the pyramid is 15 cm. Find the side edge of the pyramid.

Half the base is equal to:

1/2 * 8 * √2 = 4√2 cm.

So the height of the pyramid is perpendicular to the base, we find the height of the side, using the Pythagorean theorem, we get:

√ (15 ^ 2 + (4 * √2) ^ 2 = √257 cm.

Again using the Pythagorean theorem, we find the side edge:

√ (257 + 32) = √289 = 17 cm.

Answer: the required edge 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.