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ite the letter of the correct answer below. Which of the following could be lengths of sides of a triangle? @ 11, 15, 27 B13, 14, 32 © 16, 19, 34

ite the letter of the correct answer below. Which of the following could be lengths of sides of a triangle? @ 11, 15, 27 B13, 14, 32 © 16, 19, 34

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 12CR
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rite your Name DCION. ur answer 2 po Fite the letter of the correct answer below. Which of the following could be lengths of sides of a triangle? В 13, 14, 32 A 11, 15, 27 © 16, 19, 34 33, 22, 55 answer ce the letter of the correct answer below.
Transcribed Image Text:rite your Name DCION. ur answer 2 po Fite the letter of the correct answer below. Which of the following could be lengths of sides of a triangle? В 13, 14, 32 A 11, 15, 27 © 16, 19, 34 33, 22, 55 answer ce the letter of the correct answer below.
Expert Solution
Step 1

The sum of two sides of a triangle is always greater than the third side.

The difference of two sides sides of a triangle is always less than the third side.

a)

11, 15, 17

Consider a=11, b=15 and c=17

Then,

a+b>c               ,b+c>a                ,a+c>b11+15>17         ,15+17>11        ,11+17>15⇒26>17             ,27>11                 ,28>15       

These point satisfied the condition first.

Now,

a-b<c               ,b-c<a                ,a-c<b11-15<17         ,15-17<11        ,11-17<15⇒-4<17             ,-2<11                 ,-6<15       

These point satisfied the condition second.

Therefore, (11, 15, 17) are the sides of triangle.

 

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