Answer
$25=x$
Work Step by Step
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:$$7^2+24^2=x^2$$$$49+576=x^2$$$$625=x^2$$$$\sqrt {625}=\sqrt {x^2}$$$$25=x$$
