Question 384182: Which of the following lengths could be the sides of a triangle?
6,18,12
15,22,8
22,13,8
or
18,6,12
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
Note: The sum of two sides of a triangle must be greater than the third side
6,18,12 Not a triangle 6+12 = 18
15,22,8 YES is a triangle: for ex 15+8 =23, 15+22=37 and 22+8=30
22,13,8 Not a triangle 8+13 = 21
18,6,12 Not a triangle 6+12 = 18
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! Which of the following lengths could be the sides of a triangle?
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Rule: Assume you have three sides a,b,x where anyone is one
of the sides and a,b are the other two sides, then a-b< x
must be true if a,b,x are to form a triangle.
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6,18,12
Example: 18-12 < 6 < 18+12; False; no triangle
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15,22,8
Example: 22-15 < 8 < 22+15 ; True; good triangle
:::::::: 15-8 < 22 < 15+8 ; True; good triangle
:::::::: 22-8 < 15 < 22+8 ; True; good triangle
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22,13,8
Example: 22-13 < 8 < 22+13 ; True; good triangle
:::::::: 22-8 < 13 < 22+8 ; True; good triangle
:::::::: 13-8 < 22 < 13+8 ; False: no triangle
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Cheers,
Stan H.
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