The perimeter of triangle ABC is 77.3 cm. Side AB is 4.5 cm less than side BC and 5.5 cm

The perimeter of triangle ABC is 77.3 cm. Side AB is 4.5 cm less than side BC and 5.5 cm larger than side AC. Find side BC

Let us denote by the variable x the length of the AC side of this triangle.

Therefore, according to the conditions of the problem, the length of the side AB of this triangle we can express through (x + 5.5), and the length of the side BC of the triangle, respectively, can be expressed through (x + 5.5 + 4.5).

Knowing that the perimeter of this triangle is 77.3 centimeters, we will compose an equation and determine the length of the BC side:

x + (x + 5.5) + (x + 10) = 77.3;

3x + 15.5 = 77.3;

3x = 61.8;

x = 20.6;

20.6 + 10 = 30.6.

Answer: The side of the sun is 30.6 cm.