Question

Одна сторона трикутника у 3 рази більша від другої, а третя сторона менша за першу на 5 см. Периметр трикутника 30 см. Знайти сторони трикутника.

Answer 1

Ответ:

Обозначим вторую сторону через х

первая будет 3х,

а третья3х-5

х+3х+(3х-5)=30; 7х=35; х=5

Ответ: 15; 5; 10

Answer 2

Problem Analysis

We are given that one side of a triangle is 3 times larger than the second side, and the third side is 5 cm smaller than the first side. The perimeter of the triangle is 30 cm. We need to find the lengths of the sides of the triangle.

Solution

Let's assume the second side of the triangle is x cm. According to the given information, the first side is 3 times larger than the second side, so the first side is 3x cm. The third side is 5 cm smaller than the first side, so the third side is (3x - 5) cm.

The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter is 30 cm. Therefore, we can write the equation:

x + 3x + (3x - 5) = 30

Simplifying the equation:

7x - 5 = 30

Adding 5 to both sides:

7x = 35

Dividing both sides by 7:

x = 5

Now that we have the value of x, we can find the lengths of