Answer
4$\sqrt 5$
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 4 and the length of the hypotenuse as 6. Substitute 4 in for a and 6 in for c.
$a^{2}$+$b^{2}$=$c^{2}$
$4^{2}$+$b^{2}$=$6^{2}$
16+$b^{2}$=36
Subtract 16 from both sides
$b^{2}$=20
Take the square root of both sides to find the length of the missing side.
b=4$\sqrt 5$
