The first side of the triangle is 48% of the second side, and the third side is 0.8 cm larger than the first. by what percentage

The first side of the triangle is 48% of the second side, and the third side is 0.8 cm larger than the first. by what percentage is the third side of a triangle smaller than the second if its perimeter is 5.7 cm?

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

Then the length of the first side will be equal to 0.48x cm, and the length of the third side: 0.48x + 0.8 cm.

Knowing that the perimeter of the triangle is 5.7 cm, we draw up an equation and determine the length of the second and third sides:

x + 0.48x + 0.48x + 0.8 = 5.7;

1.96x = 4.9;

x = 2.5;

0.48 * 2.5 + 0.8 = 2.

Let’s determine by what percentage the third side of the triangle is less than the second:

(1 – 2 / 2.5) 100% = 20%

Answer: The third side of the triangle is 20% less than the second.