The perimeter of a square inscribed in a circle is 28√3cm. Find the side of a regular triangle inscribed in a circle.

Let us determine how many centimeters the length of the side of the square will be expressed, when from the condition of the task we know that its perimeter is 28√3 centimeters:

28√3: 4 = 7√3.

We determine how many centimeters the radius of a circle will be expressed, which will be described around such a square:

7√3: √2 = 3.5√6.

Let’s determine how many centimeters the side of the right triangle will be expressed, which will be inscribed in this circle:

3.5√6 * 3: √3 = 10.5√2.

Answer: The side is 10.5√2 cm.