The picture shows a sandwich box:
A sandwich box is shown with a right triangle side. The right triangle has hypotenuse 14 cm and base 12 cm.
What is the approximate minimum height of a shelf in which this box can fit in the position shown in the picture? (1 point)
5.6 centimeters
6.8 centimeters
7.2 centimeters
18.4 centimeters
To find the approximate minimum height of the shelf, we need to find the height of the triangle.
Using the Pythagorean theorem, we can calculate the height as follows:
height^2 = hypotenuse^2 - base^2
height^2 = 14^2 - 12^2
height^2 = 196 - 144
height^2 = 52
height ≈ √52
height ≈ 7.21 cm
Therefore, the approximate minimum height of the shelf is approximately 7.2 centimeters. Hence, the answer is 7.2 centimeters.