Answer
15.5 in.
Work Step by Step
The Pythagorean Theorem says that $(leg_{1}) ^{2}$+$(leg_{2})^{2}$=$hypotenuse^{2}$.
This formula is more commonly referred to as $a^{2}$+$b^{2}$=$c^{2}$
You are given the lengths of one side of the monitor as 11 and the length of the diagonal as 19. Substitute 11 in for a and 19 in for c.
$a^{2}$+$b^{2}$=$c^{2}$
$11^{2}$+$b^{2}$=$19^{2}$
121+$b^{2}$=361
Subtract 121 from both sides.
$b^{2}$=240
Take the square root of both sides to find the length of the missing side.
b=15.5
