## Geometry: Common Core (15th Edition)

$\sqrt 33$
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 7. Substitute 4 in for a and 7 in for c. $a^{2}$+$b^{2}$=$c^{2}$ $4^{2}$+$b^{2}$=$7^{2}$ 16+$b^{2}$=49 Subtract 16 from both sides $b^{2}$=33 Take the square root of both sides to find the length of the missing side. b=$\sqrt 33$