SOLUTION: You have two rods of length 17cm and 11cm.How many different triangles can you form with them if the 3rd side must have an integral length?

Question 356949: You have two rods of length 17cm and 11cm.How many different triangles can you form with them if the 3rd side must have an integral length?
Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!
You have two rods of length 17cm and 11cm. How many different triangles can you form with them if the 3rd side must have an integral length

The third side must be an integer greater than their difference (in absolute
value) 17-11 = 6 and less than their sum, which is 17+11 = 28.  So the third
side has to be one of these integers: 

7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27
cm.

There are 21 such triangles possible.

Edwin

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