A square is cut on the diagonal to form 2 right triangles. The hypotenuse of the resulting triangles is 30 inches long.
What is the length of each side of the square?
3.87 inches
5.48 inches
15 inches
21.21 inches
Let x be the length of each side of the square.
By the Pythagorean theorem, we have:
(x^2) + (x^2) = (30^2)
2(x^2) = 900
x^2 = 450
x = √450
x ≈ 21.21 inches
Therefore, the length of each side of the square is approximately 21.21 inches. Answer: \boxed{21.21}.