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 anyone knows this??

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Which set of lengths could make a triangle?


3 in., 6 in., 4 in.
4 in., 12 in., 6 in.
9 in., 2 in., 15 in.
8 in., 5 in., 3 in.
 
 Dec 18, 2014

Best Answer 

 #3
avatar+129850 
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It can't be the last two because

9 + 2 < 15

And

3 + 5  is not greater than 8   (this choice produces a "degenerate" triangle....one with "0" area)

 

Only the first choice is correct

 

 Dec 18, 2014

3+0 Answers

 #1
avatar+129850 
+5

This is known as the "Triangle Inequality"...for our purposes here.....it says that the sum of any two sides of a triangle  is greater than the remaining side.....

Knowing this......see if you can figure this out.....

Hint......the second choice is no good because  4 + 6 < 12.....!!!

 

 Dec 18, 2014
 #2
avatar+449 
0

so which one would it be?

 Dec 18, 2014
 #3
avatar+129850 
+5
Best Answer

It can't be the last two because

9 + 2 < 15

And

3 + 5  is not greater than 8   (this choice produces a "degenerate" triangle....one with "0" area)

 

Only the first choice is correct

 

CPhill Dec 18, 2014

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