Question
Perimeter of a △ with integer sides is equal to 15. How many such triangles are possible?
CAT 2021
Solution
Correct option is
(A)
Explanatory Answer
suppose
x = 1 , possible triangles = 1 , 7 , 7
x = 2 , possible triangles = 2 , 6 , 7
x = 3 , possible triangles = 3 , 6 ,6 AND 3 , 5 ,7
x = 4 , possible triangles = 4 ,4 , 7 AND 4 , 5, 6
x = 5 possible triangle is 5 ,5 ,5
so , there are total 7 possible triangles
hence , A is the correct option
