How many triangles are there whose perimeter is 24 with side lengths x, y, z all integers? If triangles are congruent, they are considered equal.
We can list them:
(2,11,11)
(3,10,11)
(4,9,11)
(5,9,10)
(6,7,11)
(6,8,10)
(7,7,10)
(7,8,9)
(8,8,8)
9 possible triangles
Sorry,
I forgot to mention. The answer choices were 11, 12, 13, 14, 15