The lengths of the sides of a triangle are 4: 5: 6 and the sum of its largest and smallest sides is 30 cm

The lengths of the sides of a triangle are 4: 5: 6 and the sum of its largest and smallest sides is 30 cm find the perimeter of the triangle

Let us denote by the variable n the number of centimeters that falls on one part from the perimeter of the triangle.

Therefore, according to the conditions of the problem, we can represent the larger side as 6n, and the smaller – 4n.

Since we know that the sum of the lengths of these sides is thirty centimeters, we write down the equation and find n:

6n + 4n = 30;

10n = 30;

n = 3.

Let’s calculate how many such parts the perimeter includes:

4 + 5 + 6 = 15.

Let’s calculate what it is equal to:

15 * 3 = 45.

Answer: The perimeter is 45 centimeters.