Question

Одна из сторон треугольника на 6 см меньше другой и на 9 см меньше третьей. Найдите стороны треугольника если его периметр равен 33 см

Answer 1

х см 1 сторона треугольника

х+6 см  2 сторона треугольника 

х+9 см  3 сторона треугольника

х+х+6+х+9=33

3х=33-15

3х=18

х=6 см

6+6=12 см

6+9=15 см

Ответ 6 см; 12 см; 15 см 

Answer 2

Problem Analysis

We are given that one side of a triangle is 6 cm shorter than another side, and it is also 9 cm shorter than the third side. We need to find the lengths of the sides of the triangle when its perimeter is 33 cm.

Solution

Let's assume the lengths of the sides of the triangle are a, b, and c, with a being the shortest side. According to the given information, we have the following equations:

1. b = a + 6 2. c = a + 9 3. a + b + c = 33

We can solve these equations to find the values of a, b, and c.

Substituting equation 1 and equation 2 into equation 3, we get:

a + (a + 6) + (a + 9) = 33

Simplifying the equation:

3a + 15 = 33

Subtracting 15 from both sides:

3a = 18

Dividing both sides by 3:

a = 6

Substituting the value of a into equation 1 and equation 2, we get:

b = 6 + 6 = 12 c = 6 + 9 = 15

Therefore, the lengths of the sides of the triangle are 6 cm, 12 cm, and 15 cm.

Answer: The lengths of the sides of the triangle are 6 cm, 12 cm, and 15 cm.