34.7k views
0 votes
Straws place inside a rectangle box that is 7"" x 9"" x 9"" as shown if the salt is exactly into the box diagonally from the bottom left corner to the top right back corner how long does the straw leave your answer in simplest radical form

1 Answer

3 votes

Final answer:

The length of the diagonal of the rectangle is √130 inches.

Step-by-step explanation:

The diagonal of the rectangle can be found using the Pythagorean theorem. The formula for the Pythagorean theorem is a² + b² = c², where a and b are the lengths of the sides of the rectangle and c is the length of the diagonal. In this case, a = 7 inches and b = 9 inches. Plugging these values into the formula, we have 7² + 9² = c². Simplifying, we get 49 + 81 = c². Adding these values, we get 130 = c². To find c, we take the square root of both sides of the equation. Therefore, c = √130 inches in simplest radical form.

Learn more about Diagonal of a rectangle

User Chris Watson
by
7.9k points