Is it possible to cut a beam from a log with a diameter of 16 cm, the cross-section of which is a square with a side of 13 cm?
July 24, 2021 | education
| To solve it, imagine a square with a side of 13 cm, inscribed in a circle, determine its diagonal and compare it with the diameter of the log.
Triangle ABD is rectangular, legs AB = AD = 13 cm, then BD ^ 2 = 2 * AB ^ 2 = 2 * 132 = 338.
ВD = 13 * √2 = 18.38 cm.
ВD> 16 cm.
A log with a diameter of 16 cm will not leave a square beam with a side of 13 cm.
Answer: Not possible.
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