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) (Show Source):
You can put this solution on YOUR website! If I lay the side down flat, I see that sides
equal to and will add up to the
side, and will not be a triangle, So I must go higher than
for the 3rd side
I can have: and and and and (this is isosceles) and and
.
.
. and
The next one, and is like the and , because it lays down flat
on top of the side, because
so, the possible integer sides for the 3rd side are:
4 through 18.