Answer
4$\sqrt 3$
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 11 and the length of the hypotenuse as 12. Substitute 11 in for a and 13 in for c.
$a^{2}$+$b^{2}$=$c^{2}$
$11^{2}$+$b^{2}$=$13^{2}$
121+$b^{2}$=169
Subtract 121 from both sides
$b^{2}$=48
Take the square root of both sides to find the length of the missing side
b=4$\sqrt 3$
