he sides of a square are 10 inches long. How long is the diagonal of the square?
A.
20 in.
B.
10 square root 2 inches.
C.
10 in.
D.
2 square root 5 inches.
B. 10 square root 2 inches.
To find the length of the diagonal of a square, you can use the Pythagorean theorem. In this case, the diagonal is the hypotenuse of a right triangle where the two other sides are the sides of the square (both 10 inches).
So, using a^2 + b^2 = c^2, where a = 10, b = 10, we get:
10^2 + 10^2 = c^2
100 + 100 = c^2
200 = c^2
c = square root of 200
c = 10 square root 2 inches.