The perimeter of a triangle with sides of integer values is equal to 13. How many such triangles are possible?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 5.
Perimeter = 13
Number of triangles possible = (P + 3)2/48 ---- (1)
Using equation (1), we get
⇒ Number of triangles possible = (P + 3)2/48
⇒ (13 + 3)2/48
⇒ 162/48 = 16/3 = 5.33
The nearest integer value is 5.