Possible lengths for third side of a triangle

Many different triangles can be made with two sides of lengths 5 and 8. Which ones are possible? * Is it possible for the third side to have length 2? Length 7? Length 15? Why or why not? * Which of the many possible triangles has the largest area? Explain how you arrived at your answer.

 

jrendall

 
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area  maximizing  size  third  triangles 
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