Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 11 - Review Exercises - Page 525: 18

Answer

This triangle is an isosceles triangle. Therefore the length of the opposite side equals to the length of the adjacent side, so $tan R =\frac{opposite}{adjacent}=1$

Work Step by Step

By definition, the tangent ratio is $tan R =\frac{opposite}{adjacent}$. Here, this triangle is an isosceles triangle, as both angle $m\angle R = m \angle S = 45^{\circ} $. Therefore the length of the opposite side equals to the length of the adjacent side, so $tan R =\frac{opposite}{adjacent}=1$
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.