SOLUTION: Decide whether the numbers can represent the side lengths of a triangle. 1. 5,4,3 2. 5,6,7 3. 5,5,10 4. 5,10,10 5. 5,10,15 6. 5,15,15

Algebra ->  Triangles -> SOLUTION: Decide whether the numbers can represent the side lengths of a triangle. 1. 5,4,3 2. 5,6,7 3. 5,5,10 4. 5,10,10 5. 5,10,15 6. 5,15,15      Log On


   



Question 853346: Decide whether the numbers can represent the side lengths of a triangle.
1. 5,4,3
2. 5,6,7
3. 5,5,10
4. 5,10,10
5. 5,10,15
6. 5,15,15

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Add the two smallest numbers together.  If this sum is greater than the third,
or largest number, the three numbers can represent a triangle.  Otherwise they
cannot.

I will do 1 and 3.

1.  3,4,5.  
The two smaller numbers are 3 and 4.  Their sum is 3+4=7.  7 is more than 5,
which is the third, or largest number, so they represent a triangle.

3.  5,5,10  
The two smaller numbers are 5 and 5.  Their sum is 5+5=10.  10 is NOT more than
10, which is the third, or largest number, so they DO NOT represent a triangle.

This is very easy, So you do the others.

Edwin