The sum of the first and second sides of the triangle is 18.5 cm, the sum of the second and third is 15.8 cm

The sum of the first and second sides of the triangle is 18.5 cm, the sum of the second and third is 15.8 cm, the sum of the first and third is 17.7 cm. Find the perimeter of the triangle

1). The second side of the triangle is x cm.

2). The first side of the triangle is 18.5 cm.

3). The third side of the triangle is equal to (15.8 – x) cm.

4). Let’s compose and solve the equation.

(18.5 – x) + (15.8 – x) = 17.7;

18.5 – x + 15.8 – x = 17.7;

18.5 + 15.8 – 17.7 = x + x;

16.6 = 2x;

x = 16.6 / 2;

x = 8.3;

5). One side of the triangle is x = 8.3 cm.

6). The other side is 18.5 – x = 18.5 – 8.3 = 10.2 cm.

7). The third side is 15.8 – x = 15.8 – 8.3 = 7.5 cm.

8). Find the perimeter of the triangle.

8.3 + 10.2 + 7.5 = 26 cm.

Answer: The perimeter of the triangle is 26 cm.