SOLUTION: 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

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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