CAT Quantitative Ability Questions | CAT Geometry questions
CAT/2000
Question . 94
If the perimeter of a triangle is 14 and the sides are integers, then how many different triangles are possible?
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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