4. A square is cut on the diagonal to form 2 right triangles. The hypotenuse of the resulting triangles is 30 inches long.

Question

What is the length of each side of the square?

3.87 inches
5.48 inches
15 inches
21.21 inches

Answer 1

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.