a straw is placed inside a rectangular box that is 5 inches by 2 inches by 10 inches as shown if the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner how long is the straw leave your answer in simplest radical form
To find the length of the straw, we need to determine the diagonal of the rectangular box using the Pythagorean theorem.
Let the length of the straw be represented by 'x'.
Using the Pythagorean theorem:
(5)^2 + (2)^2 + (10)^2 = x^2
25 + 4 + 100 = x^2
129 = x^2
Taking the square root of both sides:
√129 = x
The length of the straw in simplest radical form is √129 inches.