Question

Ученики на уроке труда вырезали ромбики для создания новогодних игрушек на ёлку. Сколько ромбиков они смогли нарезать из трёх одинаковых прямоугольных листов размерами 210 × 298 мм, если диагонали ромба равны 6 см и 8 см, а обрезанные кусочки разрешается соединять в ромбы.

Answer 1

Ответ:

13. если нет сорянчик брооо

Answer 2

Calculation of the Number of Rhombuses

To determine the number of rhombuses that can be cut from three identical rectangular sheets, we need to consider the dimensions of the sheets and the given diagonals of the rhombus.

Given: - Dimensions of the rectangular sheets: 210 mm × 298 mm - Diagonals of the rhombus: 6 cm and 8 cm

To find the number of rhombuses, we need to calculate the number of rhombuses that can be cut from each rectangular sheet and then multiply it by three (since there are three identical sheets).

Calculation for One Rectangular Sheet

Let's start by calculating the number of rhombuses that can be cut from one rectangular sheet.

The diagonals of a rhombus divide it into four congruent right-angled triangles. We can use the Pythagorean theorem to find the lengths of the sides of these triangles.

Let's assume the sides of the rhombus are a and b, and the diagonals are d1 and d2.

According to the Pythagorean theorem, we have the following equations:

a^2 + b^2 = d1^2 ---(1) a^2 + b^2 = d2^2 ---(2)

Given that the diagonals of the rhombus are 6 cm and 8 cm, we can substitute these values into equations (1) and (2) to find the values of a and b.

From equation (1): a^2 + b^2 = 6^2 a^2 + b^2 = 36 ---(3)

From equation (2): a^2 + b^2 = 8^2 a^2 + b^2 = 64 ---(4)

By subtracting equation (3) from equation (4), we can eliminate the variables a^2 and b^2:

64 - 36 = 28 a^2 + b^2 - (a^2 + b^2) = 28 - 36 0 = -8

The equation 0 = -8 is not possible, which means there is no solution for the sides of the rhombus that satisfy both equations (1) and (2).

Therefore, it is not possible to cut any rhombuses from one rectangular sheet with the given dimensions and diagonals.

Calculation for Three Rectangular Sheets

Since we cannot cut any rhombuses from one rectangular sheet, it follows that we cannot cut any rhombuses from three identical rectangular sheets with the same dimensions and diagonals.

Therefore, the answer to the question is that the students were not able to cut any rhombuses from the three identical rectangular sheets.

Please note that the calculations above are based on the given information and assumptions. If there are any additional details or constraints, the answer may vary.

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