Question

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

CAT 2021

A
B
C
D
##### 5
Solution

Correct option is

(A)

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