A suitcase measures 14 inches long and 8 inches high. What is the diagonal length of the suitcase?

The diagonal length of the suitcase is 16.12 inches.

Step-by-step explanation:

Step 1:

Length of the suitcase = 14 inches

Width of the suitcase = 8 inches

We need to compute the diagonal length of the suitcase.

Step 2:

The diagonal length of the suitcase is the diagonal of the rectangle with the above given dimensions

The diagonal and the 2 sides form a right angled triangle and hence the diagonal can be computed using the Pythagoras theorem

So the diagonal² = 14² + 8² = 196 + 64 = 260

the diagonal = √260 = 16.12 inches

Step 3:

Answer:

The diagonal length of the suitcase is 16.12 inches.