A diagonal of a square checkboard is 20 inches long. find the length of one side of the checkerboard,
what is 20/sqrt2 ?
10 2
To find the length of one side of the checkerboard, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the diagonal of the square is the hypotenuse, and the sides of the square are the other two sides of the right triangle.
Let's call the length of one side of the square "s". Using the Pythagorean theorem, we can set up the following equation:
s^2 + s^2 = 20^2
Simplifying the equation:
2s^2 = 400
Divide both sides of the equation by 2:
s^2 = 200
To solve for s, take the square root of both sides of the equation:
s = sqrt(200)
Simplifying:
s ≈ 14.14
Therefore, the length of one side of the checkerboard is approximately 14.14 inches.