A suitcase measures 20 inches long and 15 inches high. What is the diagonal length of the suitcase?

Question

Isaiah Anthony · Accepted Answer

The diagonal length of the suitcase is #25# inches.

A suitcase is of the shape of cuboid and has length, width and height. However if it is not placed flat on a surface, but is closed and kept in a vertically upright position, its width may be termed as height, which is given as #15# inches. As length is #20# inches, its diagonal would be #sqrt(20^2+15^2)=sqrt(400+225)=sqrt625=25# Hence, the diagonal length of the suitcase is #25# inches.

Hazel Anglin · Answer

undefined The diagonal length of the suitcase can be found using the Pythagorean theorem. The formula is: diagonal length = √(length^2 + height^2). Plugging in the values, we get: diagonal length = √(20^2 + 15^2) = √(400 + 225) = √625 = 25 inches. Therefore, the diagonal length of the suitcase is 25 inches.