Respuesta :

Answer:

Step-by-step explanation:

14^2+20^2=c^2

196+400=c^2

square root of 596=c^2

c^2=24.4

The diagonal length of the suitcase is 24.41 inches if the suitcase measures 14 inches long and 20 inches high.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a suitcase measures 14 inches long and 20 inches high.

The diagonal, length, and height will make a right angle triangle.

Let's suppose the length of the diagonal is x inches

From the Pythagoras theorem:

x² = 14² + 20²

x² = 596

x = 24.41 inches

Thus, the diagonal length of the suitcase is 24.41 inches if the suitcase measures 14 inches long and 20 inches high.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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