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 11 - Review Exercises - Page 532: 18

Answer

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