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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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