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?

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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