In the rectangular parallelepiped ABCDA1B1C1D1, the edge lengths are known: AB = 4 AD = 13 AA1 = 16.

In the rectangular parallelepiped ABCDA1B1C1D1, the edge lengths are known: AB = 4 AD = 13 AA1 = 16. Find the distance between vertices B and D1 of this box.

1. The distance that we need to find is called the diagonal of the parallelepiped.

2. There is a theorem: The square of the diagonal of a rectangular parallelepiped is equal to the sum of the squares of its three dimensions. All measurements are given to us (length, width and height).

3. We form an equation, extract the root, the answer is: 21.



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