Which one of the following sets of numbers could represent the lengths of the sides of a triangle? (A) 7,15,30) (B) 6,12,6) (C) 2,2,2) (D) 4,9,1)?

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All of these numbers are in cm btw

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Answer 1 · 2018-02-11T09:09:05

C)

If #a,b,c# are the three sides of a triangle, then it must be that #c< (a+b)# , #a<(b+c)# , #b<(a+c)#

Here, in option A. #30>(7+15)# , in B. #12=(6+6)# , In D. #9>(4+1)#

Only in option C.

#2<(2+2)# this is true for all #3# combinations