# The lengths of the sides of the triangle are in the ratio 4: 3: 5 and the sum of the largest and the smallest

**The lengths of the sides of the triangle are in the ratio 4: 3: 5 and the sum of the largest and the smallest sides is 24 cm. Find the perimeter of this triangle.**

1. Determine how many parts are the sum of all sides of the triangle, if their ratio according to the problem statement is 4: 3: 5.

4 + 3 + 5 = 12 pieces.

2. Let us write down the sum of the parts of the largest and smallest sides of the triangle in parts and in centimeters, so we can calculate how many centimeters are one part.

It is known that the sum of the largest and smallest sides is 24 centimeters.

3 + 5 = 24 cm;

8 pieces = 24 cm;

1 piece = 24 cm: 8 = 3 cm.

3. Let’s calculate the perimeter of the triangle, knowing that it is 12 parts.

3 cm * 12 = 36 cm.

Answer: The perimeter of a triangle is 36 centimeters.