Question

Обе диагонали параллелограмма равны 41 одна из сторон параллелограмма равна 40 Найдите другую сторону параллелограмма

Answer 1

Сорри за почерк, но думаю, должно быть понятно

Answer 2

Finding the other side of the parallelogram

To find the length of the other side of the parallelogram, we can use the information given about the diagonals and one side of the parallelogram.

Given: - Both diagonals of the parallelogram are equal to 41. - One side of the parallelogram is equal to 40.

To find the length of the other side, we can use the fact that the diagonals of a parallelogram bisect each other. This means that each diagonal divides the parallelogram into two congruent triangles.

Let's denote the length of the other side of the parallelogram as x.

Using the properties of a parallelogram, we can set up the following equation:

x^2 + 20^2 = 41^2

Simplifying the equation, we get:

x^2 + 400 = 1681

Subtracting 400 from both sides, we have:

x^2 = 1281

Taking the square root of both sides, we find:

x ≈ 35.8

Therefore, the length of the other side of the parallelogram is approximately 35.8.