Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.4 - Analytic Proofs - Exercises - Page 473: 34

Answer

If the side lengths are a, b, and c and $a^2+b^2 =c^2$, then it is a right triangle.

Work Step by Step

We consider a triangle with side lengths a, b, and c. We consider the case where the angle is a right angle. If and only if this is the case, the distance c is: $c= \sqrt{a^2+b^2} \\ c^2 =a^2 +b^2$ If it was not a right triangle, this would not be the case. Thus, if the side lengths are a, b, and c and $a^2+b^2 =c^2$, then it is a right triangle.
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.