Question

Сторони трикутника дорівнють 20см 24см 30см. Знайти сторниподібного трикутника якщо його найбільша сторона 60 см .​

Answer 1

У подобных треугольников коэффициенты подобия (отношения сторон одного треугольника к соответствующим сторонам другого) равны = > если в первом треугольнике большая сторона - 30 см, а во втором- 60, то К = 60/30 = 2, и стороны равны:

20*2, 24*2 и 60 см, то бишь 40, 48 и 60.

Answer 2

Finding the Similar Triangle

To find the sides of a similar triangle when the largest side is 60 cm, we can use the concept of similarity ratios.

In a similar triangle, the ratio of the lengths of corresponding sides is constant. This means that if we know the ratio of the sides of the given triangle, we can use it to find the corresponding sides of the similar triangle.

Let's calculate the ratio of the sides of the given triangle:

- Side 1: 20 cm - Side 2: 24 cm - Side 3: 30 cm

To find the ratio, we can divide each side length by the length of the largest side:

- Ratio of Side 1 to the largest side: 20 cm / 30 cm = 2/3 - Ratio of Side 2 to the largest side: 24 cm / 30 cm = 4/5 - Ratio of Side 3 to the largest side: 30 cm / 30 cm = 1/1

Now, we can use these ratios to find the corresponding sides of the similar triangle when the largest side is 60 cm.

- Side 1 of the similar triangle: (2/3) * 60 cm = 40 cm - Side 2 of the similar triangle: (4/5) * 60 cm = 48 cm - Side 3 of the similar triangle: (1/1) * 60 cm = 60 cm

Therefore, the sides of the similar triangle, when the largest side is 60 cm, are 40 cm, 48 cm, and 60 cm.