CAT Quantitative Ability Questions | CAT Geometry questions

CAT/2000

Question . 95

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.