In rectangular parallelepiped ABCDA1B1C1D1 it is known that DD1 = 14, CD = 12, AD = 12. Find the length of the diagonal BD1
| April 5, 2021 | education
Let’s draw a diagonal of the base of the AC. In a right-angled triangle ACB, AC ^ 2 = AD ^ 2 + DC ^ 2 = 12 ^ 2 + 12 ^ 2 = 144 + 144 = 288.
In a right-angled triangle ACC1, side CC1 = DD1 = 14 cm, then by the Pythagorean theorem,
AC1 ^ 2 = AC ^ 2 + CC1 ^ 2 = 288 + 196 = 484.
AC1 = 22 cm.
Answer: The length of the hypotenuse AC1 is 22 cm.
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