4. 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
To solve this problem, we can use the Pythagorean theorem.
Let x be the length of the sides of the square. Since the square is cut on the diagonal, the hypotenuse of the triangles is equal to x√2.
Therefore, x√2 = 30 inches
Solving for x:
x = 30 / √2 = 30 / 1.414 = 21.21 inches
Therefore, the length of each side of the square is 21.21 inches.
So the correct answer is 21.21 inches.