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?

5.6 centimeters
6.8 centimeters
7.2 centimeters
18.4 centimeters

Respuesta :

Using the Pythagorean theorem we can find the height of the triangle:


height = √(14^2 - 12^2)

height = √(196 - 144)

height = √52

height = 7.2


The answer would be 7.2 centimeters.


C. 7.2 centimeters

How do you calculate the Pythagorean theorem?

a 2 + b 2 = c 2. This is known as Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if 2 sides of the right triangle are known, the Pythagorean theorem could be used to determine the length of the 3rd side. Referencing the above diagram, if. a = 3 and b = 4

Using the Pythagorean theorem we can find the height of the triangle:

height = √(14^2 - 12^2)

height = √(196 - 144)

height = √52

height = 7.2

The answer would be 7.2 centimeters.

Learn more about Pythagorean equation here https://brainly.com/question/9373923

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