In the rectangular parallelepiped ABCDA1B1C1D1, the lengths of the edges AB = 15 AD = 8 AA1
| April 28, 2021 | education
In the rectangular parallelepiped ABCDA1B1C1D1, the lengths of the edges AB = 15 AD = 8 AA1 = 19 are known. find the distance between the vertices A and c1 of this parallelepiped.
Let’s construct a diagonal AC.
Then in a right-angled triangle ABC, AC ^ 2 = AB ^ 2 + BC ^ 2 = 225 + 64 = 289.
Triangle ACC1 is rectangular, then, according to the Pythagorean theorem, AC1 ^ 2 = AC ^ 2 + CC1 ^ 2 = 289 + 361 = 650.
AC = √650 = 5 * √26 cm.
Answer: Between the peaks A and C1 5 * √26 cm.
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