In a rectangular parallelogram ABCD A1B1C1D1 it is known that C1A = √65 BB1 = 5. B1C1 = 6
| September 9, 2021 | education
In a rectangular parallelogram ABCD A1B1C1D1 it is known that C1A = √65 BB1 = 5. B1C1 = 6 find the length of the edge D1C1.
The square of the diagonal of a rectangular parallelepiped is equal to the sum of the squares of the lengths of its sides.
A1C ^ 2 = BB1 ^ 2 + B1C1 ^ 2 + D1C1 ^ 2.
D1C1 ^ 2 = A1C ^ 2 – BB1 ^ 2 – B1C1 ^ 2 = 65 – 25 – 36 = 4.
D1С1 = 2 cm.
Answer: The length of the side D1C1 is 2 cm.
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