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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Which of the following could be the sides of an obtuse... tagged by: AAPL ##### This topic has 1 expert reply and 0 member replies ### Top Member ## Which of the following could be the sides of an obtuse... Which of the following could be the sides of an obtuse angle triangle? I. 1, 2, 3 II. 2, 3, 4 III. 2, 3, 5 A. I and III only B. II only C. III only D. I and II only E. I, II and III The OA is B. I don't have clear this PS question, why II only? I appreciate if any expert explain it for me. Thank you so much. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 AAPL wrote: Which of the following could be the sides of an obtuse angle triangle? I. 1, 2, 3 II. 2, 3, 4 III. 2, 3, 5 A. I and III only B. II only C. III only D. I and II only E. I, II and III The OA is B. I don't have clear this PS question, why II only? I appreciate if any expert explain it for me. Thank you so much. This question is an application of the "third side" rule of triangles: The third side of a triangle must be less than the sum of the other two sides and it must be greater than the difference of the other two sides. (Algebraically: If you have a triangle with sides x, y, and z, we know that x < y + z and x > y - z.) First statement: 1, 2, 3 - this violates the third side rule, as 3 is not less than 1 + 2. If the third side is not less than the sum of the other two sides, then we don't have a triangle. This is out. Third statement: 2, 3, 5 - this violates the third side rule, as 5 is not less than 2 + 3. If the third side is not less than the sum of the other two sides, then we don't have a triangle. This is out. If we eliminate I and III, we're left with II. The answer is B _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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