SOLUTION: How many different triangles can have sides of length 8 and 11 if the third side must have a length which is an integer?

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Question 186614: How many different triangles can have sides of length 8 and 11 if the third side must have a length which is an integer?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If I lay the 11 side down flat, I see that sides
equal to 8 and 3 will add up to the 11
side, and will not be a triangle, So I must go higher than 3
for the 3rd side
I can have:
8 and 4
8 and 5
8 and 6
8+ and 8 (this is isosceles)
8 and 9
8 and 10
.
.
.
8 and 18
The next one, 8 and 19 is like the
8 and 3, because it lays down flat
on top of the 11 side, because 19+-+8+=+11
so, the possible integer sides for the 3rd side are:
4 through 18.