# Chapter 8 - Right Triangles and Trigonometry - 8-1 The Pythagorean Theorem and It's Converse - Practice and Problem-Solving Exercises: 12

$17=x$

#### 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: $$8^2+15^2=x^2$$$$64+225=x^2$$$$289=x^2$$$$\sqrt {289}=\sqrt {x^2}$$$$17=x$$

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