A checkerboard is 10 inches long on each side.What is the length of the diagonal from one corner to another? I know, I will need to use the equation... A2+B2=C2....but I don't know where to put the numbers. Thank you for the help!
10^2 + 10^2 = c^2
100 + 100 = c^2
200 = c^2
14.14 = c
THX
To find the length of the diagonal from one corner to another on a checkerboard, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, imagine the checkerboard as a square. Let's use the equation you mentioned, A^2 + B^2 = C^2. We will assign A and B as the lengths of the sides of the square and solve for C, which represents the length of the diagonal.
Since the checkerboard is a square and you mention that it is 10 inches long on each side, we can substitute A = 10 and B = 10 into the equation:
10^2 + 10^2 = C^2
Simplifying this equation:
100 + 100 = C^2
200 = C^2
To find C, we need to find the square root of both sides of the equation:
√200 = √C^2
C = √200
Calculating the square root of 200:
C ≈ 14.14
Therefore, the length of the diagonal from one corner to another on the 10-inch long checkerboard is approximately 14.14 inches.