The perimeter of an equilateral triangle is 8 cm larger than the perimeter of a square

The perimeter of an equilateral triangle is 8 cm larger than the perimeter of a square with a side of 10 cm. Find the side of the triangle.

We need to determine the length of the side of an equilateral triangle.

From the problem statement, we know that the perimeter of the triangle under consideration is 8 cm larger than the perimeter of a square with a side of 10 cm.

Let’s define the perimeter of this square. We know that the perimeter of a square is found as:

Pkv = a + a + a + a = 4 * a;

a = 10 cm;

Pkv = 4 * 10 = 40 cm

Then the perimeter of an equilateral triangle is:

Ptr = Pkv = 40 + 8 = 48 cm

Since the triangle is equilateral, therefore, all sides of it are equal and have the same length. Then the length of the side of the triangle is:

Ptr = 3 * b = 48;

b = 48/3 = 16 cm