The lengths of the sides of the triangle are 5: 4: 3. Find the sides of a triangle if its perimeter is 24 cm.

Let the first side of the triangle be determined using the expression 5a.
Then, according to the terms of this assignment, the second side can be expressed by us as 4a.
Therefore, the third side of the triangle can be written in 3a.
Since, according to the condition of our task, we know for sure that the perimeter is 24 centimeters, we can write down an equation in order to solve it and find out the lengths of these sides:
5a + 4a + 3a = 24;
12a = 24;
a = 2;
5 * 2 = 10;
4 * 2 = 8;
3 * 2 = 6.
Answer: 10 cm, 8 cm and 6 cm.