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

1 answer

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.