Question

Диагонали параллепипеда MNKP пересекаются в точке О,найти периметр треугольника ONK,если MK=18 см OP=5 MP=11 ПОМОГИТЕ ,ПОЖАЛУЙСТА!!Только с дано и решением пожалуйста,т.к сама ничего не понимаю

Answer 1

Решение: 1) МО = МОК/2 = 18/2 = 6см = ОК, т.к. диагонали пар-мма точкой пересечения дел. пополам. 2) NO = OP = 5см, т.к. (см. 1 пункт) 3) NK = MP = 11см, т.к. в пар-мме противоположные стороны равны. Значит, Р треугольника ONK = 11 + 5 + 6 = 22 см.

Answer 2

Given Information:

- Diagonals of the parallelepiped MNKP intersect at point O. - MK = 18 cm - OP = 5 cm - MP = 11 cm

Solution:

To find the perimeter of triangle ONK, we can use the fact that the diagonals of a parallelepiped bisect each other. This means that point O is the midpoint of both diagonals, and we can use this information to find the length of ON and NK.

First, let's find the length of ON and NK using the given information.

Given: - MK = 18 cm - OP = 5 cm - MP = 11 cm

We can use the midpoint theorem to find the length of ON and NK. The midpoint theorem states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length.

Using the midpoint theorem, we can find the length of ON and NK as follows:

ON = 1/2 * MK = 1/2 * 18 = 9 cm NK = 1/2 * MP = 1/2 * 11 = 5.5 cm

Now that we have the lengths of ON and NK, we can find the perimeter of triangle ONK.

The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, the perimeter of triangle ONK is:

Perimeter(ONK) = ON + NK + OK

We need to find the length of OK to calculate the perimeter of triangle ONK. To find OK, we can use the Pythagorean theorem, as OK is the diagonal of the parallelepiped.

Using the Pythagorean theorem: OK^2 = ON^2 + NK^2 OK^2 = 9^2 + 5.5^2 OK^2 = 81 + 30.25 OK^2 = 111.25 OK = √111.25 OK ≈ 10.55 cm

Now that we have the length of OK, we can find the perimeter of triangle ONK: Perimeter(ONK) = ON + NK + OK Perimeter(ONK) = 9 + 5.5 + 10.55 Perimeter(ONK) ≈ 25.05 cm