Question

Сторони трикутника дорівнюють 10 см, 15 см, і 20 см. Знайти найбільшу сторону подібного йому трикутника, якщо найменша сторона подібного йому трикутника дорівнює 20 См помогите пожалуйста ​

Answer 1

Відповідь:

40

Пояснення:

Answer 2

Ответ:

найбільша сторона = 40 см

Answer 3

Finding the Largest Side of a Similar Triangle

To find the largest side of a similar triangle when the smallest side of the similar triangle is 20 cm, we can use the concept of proportional sides in similar triangles.

Given the original triangle with sides of 10 cm, 15 cm, and 20 cm, and the similar triangle with the smallest side of 20 cm, we can determine the scale factor between the two triangles.

The scale factor, denoted by k, is the ratio of the corresponding sides of the two similar triangles. In this case, we can find the scale factor by dividing the length of the corresponding sides of the two triangles.

Let's calculate the scale factor k using the given information.

The scale factor k can be calculated as follows: - For the original triangle: 10 cm / 20 cm = 0.5 - For the original triangle: 15 cm / 20 cm = 0.75

Now that we have the scale factor k, we can use it to find the lengths of the other sides of the similar triangle.

To find the length of the largest side of the similar triangle, we can multiply the length of the largest side of the original triangle by the scale factor k.

Let's calculate the length of the largest side of the similar triangle using the scale factor k.

The length of the largest side of the similar triangle is: - Largest side of original triangle: 20 cm - Scale factor k: 0.75

Largest side of similar triangle = 20 cm * 0.75 = 15 cm

Therefore, the largest side of the similar triangle, when the smallest side is 20 cm, is 15 cm.