Question

Ребят помогите срочно надо!! В прямоугольном параллелепипеде АВСDА1В1D1 известны длины ребер ВВ1=3 А1В1=6 А1D1=2. Найдите длину диагонали ВD1. Помогите срочно надо!!

Answer 1

Т к прям паралеп,то АА1=ВВ1=СС1=DD1=3, AB=A1B1=CD=C1D1=6, AD=A1D1=CD=C1D1=2. Найдем ВD из треугол ВАD (уголА=90гр) по т.Пифагора: ВD^2=AB^2+AD^2, BD^2=40. Из треугол ВD1D (уголD=90гр) найдем по т.Пифагора ВD1^2=BD^2+DD1^2, BD1^2=40+9, BD1=7

Answer 2

Вот решение, надеюсь помог)))

Answer 3

Finding the Length of Diagonal BD1 in a Rectangular Parallelepiped

To find the length of the diagonal BD1 in a rectangular parallelepiped ABCDA1B1C1D1, we can use the given information about the lengths of the edges.

Let's denote the length of edge BV as BV = 3, the length of edge A1V1 as A1V1 = 6, and the length of edge A1D1 as A1D1 = 2.

To find the length of diagonal BD1, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, triangle BD1V is a right triangle, with BD1 as the hypotenuse and BV and A1D1 as the other two sides.

Using the Pythagorean theorem, we can write the equation:

BD1^2 = BV^2 + A1D1^2

Substituting the given values, we have:

BD1^2 = 3^2 + 2^2

Simplifying:

BD1^2 = 9 + 4

BD1^2 = 13

Taking the square root of both sides, we find:

BD1 = √13

Therefore, the length of the diagonal BD1 in the rectangular parallelepiped ABC