Answer:
[tex]3\sqrt{29}[/tex] or approximately 16.16
Step-by-step explanation:
The diagonal (hypotenuse) mesures 19 inches.
The height of the computer monitor is 10 inches.
Use the Pythagorean theorem:
a and b are the triangle's legs
h is the hypotenuse
[tex]a^{2} + b^{2} = c^{2}\\ \\a^{2} + 10^{2} = 19^{2}\\ \\361 - 100 = a^{2}\\ \\a = \sqrt{261} \\\\a = 3\sqrt{29}[/tex]