CAT Quantitative Ability Questions | CAT Geometry questions
CAT/2000
Question . 101
If the perimeter of a triangle is 14 and the sides are integers, then how many different triangles are possible?
View Answer
Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Geometry question
(c) a + b + c = 14 and c < a + b
Thus 2(a + b) > 14, a + b > 7
So, the possible measures of sides are
(2, 6, 6), (3, 5, 6), (6, 4, 4) & (5, 5, 4).
Thus, there are four pairs possible