Question

48. Знайдіть кути ромба, якщо його сторона утворює з діагоналями кути, різниця яких дорівнює 30°. ​

Answer 1

Ответ:

5609

Объяснение:ортодонт и зубы

Answer 2

Finding the angles of a rhombus

To find the angles of a rhombus when the difference between its diagonals is 30°, we can use the properties of a rhombus.

A rhombus is a quadrilateral with all four sides equal in length. The diagonals of a rhombus bisect each other at right angles. This means that the diagonals of a rhombus form four congruent right triangles.

Let's assume that the angles formed by the diagonals are x and y, with x being larger than y. The difference between these angles is given as 30°.

We know that the sum of the angles in a triangle is 180°. Since each right triangle formed by the diagonals has one right angle, the sum of the other two angles in each triangle is 90°.

Therefore, we can set up the following equation:

x + y = 90°

Given that the difference between x and y is 30°, we can rewrite the equation as:

x - y = 30°

Now we have a system of equations:

x + y = 90° x - y = 30°

We can solve this system of equations to find the values of x and y.

Let's add the two equations together:

(x + y) + (x - y) = 90° + 30°

This simplifies to:

2x = 120°

Dividing both sides by 2, we get:

x = 60°

Substituting the value of x into one of the original equations, we can solve for y:

60° + y = 90°

Subtracting 60° from both sides, we get:

y = 30°

Therefore, the angles of the rhombus are 60° and 30°.

Note: The search results provided did not contain the specific information needed to answer this question. However, the solution to finding the angles of a rhombus can be derived using the properties of a rhombus.