Question

Визначити коефіцієнт подібності прямокутників, якщо сторони одного з них дорівнюють 3см та 4см, а діагональ другого - 15 см. Відповідь обгрунтувати рисунком. СРОЧНО​

Answer 1

Ответ:

к=3

Объяснение:

Answer 2

To determine the similarity coefficient of rectangles, we need to compare their dimensions. In this case, we have one rectangle with sides measuring 3 cm and 4 cm, and another rectangle with a diagonal measuring 15 cm.

To find the similarity coefficient, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the diagonal of the rectangle forms the hypotenuse of a right-angled triangle.

Let's denote the sides of the rectangle as a and b, and the diagonal as d. According to the Pythagorean theorem, we have the equation:

a^2 + b^2 = d^2.

Substituting the given values, we have:

3^2 + 4^2 = 15^2.

Simplifying the equation, we get:

9 + 16 = 225.

Adding the left side of the equation, we have:

25 = 225.

However, this is not a valid equation, as 25 is not equal to 225. Therefore, the given dimensions do not form a valid rectangle.

Unfortunately, without valid dimensions for both rectangles, we cannot calculate the similarity coefficient or provide a diagram. Please double-check the given values and provide valid dimensions for both rectangles.