Question

Одна з діагоналей ромба на 14 см більша за іншу. знайдіть площу ромба якщо його периметр 52 см​

Answer 1

Ответ:

ддонсрссн господь шссср паспорта

Answer 2

Calculation of the Area of a Rhombus

To find the area of a rhombus, we need to know the lengths of its diagonals. In this case, one diagonal is 14 cm longer than the other, and the perimeter of the rhombus is 52 cm.

Let's denote the lengths of the diagonals as d1 and d2. According to the given information, we have the following equation:

d1 = d2 + 14 (Equation 1)

We also know that the perimeter of a rhombus is the sum of all its sides, which in this case is 52 cm. Since a rhombus has four equal sides, each side length can be calculated as:

s = perimeter / 4 (Equation 2)

Substituting the given perimeter value into Equation 2, we get:

s = 52 / 4 = 13 cm

Now, let's express the diagonals in terms of the side length s using the properties of a rhombus. The diagonals of a rhombus bisect each other at right angles, forming four congruent right triangles. The hypotenuse of each right triangle is equal to the side length s, and the legs are half the lengths of the diagonals.

Using the Pythagorean theorem, we can express the lengths of the diagonals in terms of s:

d1 = 2s√(2) (Equation 3)

d2 = 2s√(2) - 14 (Equation 4)

Now, we can substitute Equation 3 and Equation 4 into Equation 1 to solve for s:

2s√(2) = 2s√(2) - 14 + 14

Simplifying the equation, we get:

2s√(2) = 2s√(2)

This equation is true for any value of s. Therefore, we can conclude that the given information is inconsistent or contradictory.

Unfortunately, based on the provided information, it is not possible to calculate the area of the rhombus.