In a rectangular parallipipel, the diagonal is 10 cm, and the diagonal of the base is 6 cm. Find the area of the diagonal section.
| May 1, 2021 | education
Consider a right-angled triangle ACC1, in which AC1 = 10 cm, AC = 6 cm, then, according to the Pythagorean theorem, the leg CC1 will be equal to:
CC1 ^ 2 = AC1 ^ 2 – AC ^ 2 = 10 ^ 2 – 6 ^ 2 = 100 – 36 = 64.
CC1 = 8 cm.
The diagonal section of the parallelepiped is a rectangle АА1С1С.
Determine the area of the diagonal section.
Saa1c1c = AC * CC1 = 6 * 8 = 48 cm2.
Answer: The area of the diagonal section is 48 cm2.
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