Question

Which set of three numbers could be the side lengths of a triangle?

A. 4, 7, 11
B. 4, 10, 3
C. 4, 10, 6
D. 4, 7, 7

Answer 1

Answer: D. 4,7,7

Step-by-step explanation: Since a,band c are sides of a triangle if it satisfies

     a<b+c ,b<a+c and c<a+b

A.  11 must be less than 4+7=11  

B. 10 must be less than 4+3=7

C. 10 must be less than 4+6=10

D. 4<7+7=14, 7<4+7=11 and 7<4+7=11

hence 4,7,7 forms side of a triangle

Answer 2

Answer

4,7,7

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