One side of the triangle triangle is 2 feet long.
\The remaining measures of two sides m and n have possibilities between respectively.
The possible number of triangles are 4 and their measures are
\1. 2, 15, 14
\2. 2, 15, 15
\3. 2, 15, 16
\4. 2, 16, 16
\The triangle with measures 2, 15, 15 and 2, 16, 16 are isosceles.
There are two posseble triangles those satisfies the given conditions will be isosceles.