## Geometry: Common Core (15th Edition)

$34=x$
The Pythagorean Theorem states that if $a$ and $b$ are the legs of a right triangle and $c$ is the hypotenuse, then $a^2+b^2=c^2$. We plug in the values for $a$, $b$, and $c$, using the legs and the hypotenuse of the right triangle shown, and then solve the equation using the properties of algebra and equality: $$16^2+30^2=x^2$$$$256+900=x^2$$$$1156=x^2$$$$\sqrt {1156}=\sqrt {x^2}$$$$34=x$$