The lateral edge of the rectangle is 5 inches, the sides of the base are 6 and 8 inches, and one of the diagonals
| November 29, 2020 | education
The lateral edge of the rectangle is 5 inches, the sides of the base are 6 and 8 inches, and one of the diagonals of the base is 12 inches. Find the diagonals of the parallelepiped.
1.BВ1 = 5dm
angle ВВ1D1 = 90 degrees
B1D1 = 12 dm
According to Comrade Pythagoras:
ВD1 = 144 + 25 = 13 dm
2.A1C1 = 36 + 100 = 10 dm
A1C1 = 10dm
CC1 = 5 dm
angle CC1A1 = 90 degrees
by Comrade Pythagoras:
A1C = 100 + 25 = 5 roots of 5 dm.
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