Answer
$\sqrt 105$
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 leg as 16 and the length of the hypotenuse as 19. Substitute 16 in for a and 19 in for c.
$a^{2}$+$b^{2}$=$c^{2}$
$16^{2}$+$b^{2}$=$19^{2}$
256+$b^{2}$=361
Subtract 256 from both sides.
$b^{2}$=105
Take the square root of both sides to find the length of the missing side.
b=$\sqrt 105$
