Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - 8-1 The Pythagorean Theorem and It's Converse - Practice and Problem-Solving Exercises: 9

Answer

$34=x$

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: $$16^2+30^2=x^2$$$$256+900=x^2$$$$1156=x^2$$$$\sqrt {1156}=\sqrt {x^2}$$$$34=x$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.