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Which set of numbers could represent the lengths of the sides of a triangle?
A {6,8,9}
B {1,2,3}
C {2,2,5)
D {2,6,9)

 Mar 17, 2021
 #1
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We  have  to follow  the  triangle inequality  that  says  that  the sum of  the lengths of any two sides of a triangle  is  greater  than  the remaining  side

 

B is  out   because   1 + 2   isn't greater  than 3

 

C is out  because  2 + 2  <  5

 

D is out because   2 + 6  <  9

 

A is correct

6 + 8 >  9

6 + 9 >  8

8 + 9 >  6

 

 

cool cool cool

 Mar 17, 2021

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