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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 Two sides of triangle given, what's possible perimeter? This topic has 1 expert reply and 4 member replies Two sides of triangle given, what's possible perimeter? If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter? I. 9 II. 15 III. 19 A) None B) I only C) II only D) II and III only E) I, II, and III OA: A Please explain... Master | Next Rank: 500 Posts Joined 16 Oct 2010 Posted: 182 messages Upvotes: 4 The 3rd side of a triangle has to be less than the sum of the other two sides, and more than their difference. So in our case the 3rd side is 3< s < 7 Perimeter = 2+5+s assume s = 3 perimeter = 10 assume s = 7 perimeter = 14 So none of the given answers work out as the perimeter has to be > 10 and < 14 GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15342 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 phoenixhazard wrote: If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter? I. 9 II. 15 III. 19 A) None B) I only C) II only D) II and III only E) I, II, and III OA: A Please explain... The third side rule of triangles: The third side of a triangle must be less than the sum of the other 2 sides and bigger than the difference of the other 2 sides. Thus, given a side of 2, a side of 5, and a third side s: 5-2 < s < 5+2 3 < s < 7. Let p = perimeter. If s=3, p = 3+2+5 = 10. If s=7, p = 7+2+5 = 14. The values above give the range of the perimeter. Since 3 < s < 7, we know that 10 < p < 14. Since none of the given perimeters are between 10 and 14, the correct answer is A. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. Senior | Next Rank: 100 Posts Joined 14 Oct 2010 Posted: 41 messages Thanks! I didn't know that rule Legendary Member Joined 02 Aug 2010 Posted: 866 messages Upvotes: 31 Target GMAT Score: 700+ N:Dure wrote: The 3rd side of a triangle has to be less than the sum of the other two sides, and more than their difference. It is a very important rule in the case of Triangles, Thanks for posting the rule, I almost forgot....... _________________ Saurabh Goyal talk_to_saurabh@yahoo.com ------------------------- EveryBody Wants to Win But Nobody wants to prepare for Win. Senior | Next Rank: 100 Posts Joined 07 Jan 2010 Posted: 32 messages Upvotes: 2 GMAT Score: 710 GMATGuruNY wrote: phoenixhazard wrote: If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter? I. 9 II. 15 III. 19 A) None B) I only C) II only D) II and III only E) I, II, and III OA: A Please explain... The third side rule of triangles: The third side of a triangle must be less than the sum of the other 2 sides and bigger than the difference of the other 2 sides. Thus, given a side of 2, a side of 5, and a third side s: 5-2 < s < 5+2 3 < s < 7. Let p = perimeter. If s=3, p = 3+2+5 = 10. If s=7, p = 7+2+5 = 14. The values above give the range of the perimeter. Since 3 < s < 7, we know that 10 < p < 14. Since none of the given perimeters are between 10 and 14, the correct answer is A. is it greater than or equal to or simply greater than ? Please confirm so that i can get my basic strong . • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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