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

1 answer

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}.