Perimeter of a △ with integer sides is equal to 15. How many such triangles…

Let us assume a ≤ b ≤ c.

a = 1, Possible triangle 1, 7, 7

a = 2, possible triangle 2, 6, 7

a = 3, possible triangles 3, 6, 6 and 3, 5, 7

a = 4, possible triangles 4, 4, 7 and 4, 5, 6

a = 5, possible triangle is 5, 5, 5

There are totally 7 triangles possible.

The question is "Perimeter of a △ with integer sides is equal to 15. How many such triangles are possible?"

Hence, the answer is 7.

Choice A is the correct answer.