Which set of three segments can form a triangle?

12, 30, 5

32, 19, 22

29, 35, 6

16, 31, 14

Question

Which set of three segments can form a triangle?

12, 30, 5

32, 19, 22

29, 35, 6

16, 31, 14

anonymous · Answer

is it triangle?

anonymous · Answer

which one forms a triangle?

anonymous · Answer

:( i need posotive answers -.-

anonymous · Answer

isnt it supposed to be equilateral triangle and not just a triangle

anonymous · Answer

not likely...none of the choices has two equal lengths

anonymous · Answer

Its IMPOSSIBLE :(

anonymous · Answer

my best bet to go with is the third one

anonymous · Answer

its second one
32, 19, 22

anonymous · Answer

no. way. O.O yu figured it out! r yu sure?

anonymous · Answer

I think I know of a way to solve this one.  The law of cosines (valid for any triangle) says:$$c^2=a^2+b^2-2abcos \theta$$Now, lets try the first set and see what we get:$$900=169-2(5)(12)\cos \theta=169-120\cos \theta$$So,$$-6.09=\cos \theta$$Since cosine of an angle lies between -1 and 1, we have a contradiction.  Thus  12, 30, 5 cannot form a triangle.  Try this for the next three sets and see what you get.

anonymous · Answer

i did the same equation

anonymous · Answer

It's the second one.  It works in law of cosines and it is correct.

anonymous · Answer

the sum of the lengths of any two line segments must be greater than the length of the third line segment.

32+19=51>22
32+22=54>19
19+22=41>32

so,32, 19, 22