Answered: 5. Two sides of a triangle are 8 and…

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5. Two sides of a triangle are 8 and 15, What is the range of the 3rd side? Write your answer as an inequality

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

5. Two sides of a triangle are 8 and 15,
What is the range of the 3rd side? Write
your answer as an inequality
Your answer

Expert Solution

Step 1

Given data is :

Two sides of triangle are 8 and 15.

Let the third side be $x$

In case of triangle sum of length of two sides of triangle must be greater than third side , therefore

$\begin{array}{rcl} 8 + 15 & > & x \\ 23 & > & x \\ x & < & 23 . . . . . . . (1) \end{array}$

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