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?

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.
RELATED QUESTIONS
You have two rods of length 17cm and 11cm.How many different triangles can you form with... (answered by Edwin McCravy)

If two of the sides of a triangle have lengths 2 and 1000, how many integer values are... (answered by vleith)

two sides of a triangle have lengths of 18 and 29 units if the third side has an integer... (answered by stanbon)

An isosceles triangle has a perimeter of 28cm and sides of integer length. How many... (answered by ikleyn)

The sum of any two sides of a triangle must be greater than the length of it third side.... (answered by Boreal)

compute the smallest positive integer x for which (180*x) is a perfect cube an (answered by Alan3354)

How many different triangles are there for which the lengths of the sides are 3, 8, and... (answered by alicealc)

which is the length of the third side of an equilateral triangle if two sides each have a (answered by asuar010)

How many different isosceles triangles have integer side lengths and a perimeter of 81... (answered by AnlytcPhil)