CAT Quantitative Ability Questions | CAT Geometry questions
CAT/2000
Question . 102
a, b and c are sides of a triangle . If a² + b² +c² = ab + bc + ac then the triangle will be
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                                Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Geometry question
(a) a² + b² + c² = ab + bc + ac
Put a = b = c = k we get 3k² = 3k² , which satisfies the above equation. Thus the triangle is equilateral.