Question

Из бревна диаметром 20 см хотят выпилить длинный брус в переносном в поперечном сечении которого квадрат со стороной 15 см.Возможно ли это? 2.Меньшая диагональ правильного шестиугольника равна 53 см.Найдите периметр шестиугольника.

Answer 1

Диагональ квадрата со стороной 15 см равна по теореме Пифагора квадратному корню из 2*15*15 = 450, что больше 21 см. Поперечник бревна меньше. Ответ: Невозможно

Answer 2

Can a long beam be cut from a log with a diameter of 20 cm, with a portable cross-section of a square with a side of 15 cm?

To determine if it is possible to cut a long beam from a log with a diameter of 20 cm, with a portable cross-section of a square with a side of 15 cm, we need to compare the dimensions of the log and the desired beam.

The diameter of the log is given as 20 cm. The radius of the log can be calculated by dividing the diameter by 2, which gives us a radius of 10 cm.

The side length of the desired beam is given as 15 cm. Since the beam is square, all sides are equal in length.

To determine if the beam can be cut from the log, we need to compare the dimensions. The diagonal of a square can be calculated using the formula: diagonal = side length * √2.

Let's calculate the diagonal of the square beam: diagonal = 15 cm * √2 ≈ 21.21 cm.

Comparing the diagonal of the beam (21.21 cm) with the diameter of the log (20 cm), we can see that the diagonal of the beam is larger than the diameter of the log. Therefore, it is not possible to cut a long beam with a square cross-section of 15 cm from a log with a diameter of 20 cm.