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

May 26, 2016

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
$\sqrt{{20}^{2} + {15}^{2}} = \sqrt{400 + 225} = \sqrt{625} = 25$
Hence, the diagonal length of the suitcase is $25$ inches.