Which of the following side length do not form a right triangle?

0.5, 1.2, 1.3

6, 8, 10

3, 4, 5

1, 2, 3

Question

Which of the following side length do not form a right triangle?
		
0.5, 1.2, 1.3
		
6, 8, 10
		
3, 4, 5
		
1, 2, 3

solomonzelman · Answer

two smaller sides, have to have a sum that is greater than the largest side.

solomonzelman · Answer

For 3 sides of your (possible) triangle, where $\large\color{blue}{ c  }$ is the greatest side, and $\large\color{blue}{ a  }$ & $\large\color{blue}{ b  }$ are two smallest side:

the following has to be true:   $\large\color{blue}{ a+b>c  }$

anonymous · Answer

so, 1,2,3

solomonzelman · Answer

yes, that is not a $\large\color{blue}{ \triangle }$

anonymous · Answer

okay, thank you!

solomonzelman · Answer

because:  $\large\color{blue}{ 1+2=3  }$ but not more than 3.

anonymous · Answer

wow, that was simple

solomonzelman · Answer

yes,:)