Question

Найдите меньший из углов между диагоналями прямоугольника если его меньшая сторона относится к диагонали как 1:2.Помогите пожалуйста !!!!)))).... срочно!!!

Answer 1

Берем тангенс противолижащего к прилегающей
tg(a)=1/2
a=arctg(1/2)
a=~~26,56°

Answer 2

Finding the Smaller Angle Between the Diagonals of a Rectangle

To find the smaller angle between the diagonals of a rectangle, we first need to determine the relationship between the shorter side of the rectangle and its diagonal. Let's assume that the shorter side of the rectangle is represented by the length 'x', and the longer side is represented by the length '2x' (since the shorter side is in a 1:2 ratio with the diagonal).

To find the angle between the diagonals, we can use the formula:

Angle = arctan(2x/x)

Now, let's calculate the angle using the given information.

Calculation:

Given that the shorter side of the rectangle is in a 1:2 ratio with the diagonal, we can write the equation:

x : 2x = 1 : 2

Simplifying this equation, we find:

x = 2x/2

x = x

This implies that the shorter side of the rectangle is equal to the longer side, which means we have a square.

In a square, the diagonals are perpendicular to each other, and each angle between the diagonals is 90 degrees.

Therefore, the smaller angle between the diagonals of the rectangle is 90 degrees.

I hope this helps! Let me know if you have any further questions.