In a regular quadrangular pyramid, the lateral rib is 20 cm, and the height is 16 cm. find the diagonal of the base.
| July 25, 2021 | education
The MOC triangle is rectangular, then, according to the Pythagorean theorem, OC ^ 2 = MC ^ 2 – MO ^ 2 = 20 ^ 2 – 16 ^ 2 = 400 – 256 = 144.
OC = 12 cm.
At the base of a regular pyramid is a square, the diagonals of which, at point O, are halved. Then AC = BD = OC * 2 = 12 * 2 = 24 cm.
Answer: The diagonal of the base is 24 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.
