Question 920524: which of the following could NOT be lengths of the sides of a triangle?
a) 4,5,7
b) 8,8,14
c) 5,5,5
d) 6,7,13
or none of these
Found 2 solutions by MathLover1, Theo:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! The  side must be smaller than the  of the other two.
a) 4,5,7
b) 8,8,14
c) 5,5,5
d) 6,7,13
a) largest is  , then  => , which   ; consequently, these  be lengths of the sides of a  triangle
b) largest is  ,then  => which ; consequently, these be lengths of the sides of an  triangle
c) largest is  ,then  => which ; consequently, these be lengths of the sides of an  triangle
d) largest is  ,then  => which is  ; consequently, these be lengths of the sides of a triangle
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website!
if you take the two smaller sides and add them together, they should be greater than the third side.
if you take the largest and the smallest and subtract them from each other, they should be smaller than the third side.
4+5 > 7
7-4 < 5
a is ok.
8+8 > 14
14-8 < 8
b is ok.
5+5 > 5
5-5 < 5
c is ok.
13-6 = 7 not smaller than 7
6+7 = 13 not greater than 13
d is not ok.
d is your answer.
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