The length of the sides of a triangle is 5: 4: 3 find the sides of the triangle if its perimeter is 24 km.

By the condition of the problem, the lengths of the sides of the triangle are related as 5: 4: 3. Let k be the coefficient of proportionality. Since the perimeter of a triangle is the sum of the lengths of all its sides, we get the equation:

5k + 4k + 3k = 24.

Let’s find a solution to the equation:

12k = 24;

k = 2.

Let us determine the unknown lengths of the sides of the triangle:

5k = 5 * 2 = 10 (km);

4k = 4 * 2 = 8 (km);

3k = 3 * 2 = 6 (km).

Answer: 10 km; 8 kilometers; 6 km.