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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 ## Is the area of the triangle ABC more than 12 sq. units? tagged by: Vincen ##### This topic has 1 expert reply and 0 member replies ## Is the area of the triangle ABC more than 12 sq. units? Is the area of the triangle ABC more than 12 sq. units? (1) The GCD of the sides AB and AC is 2. (2) The LCM of the sides AB and AC is 12. The OA is C. I would like to knwo how to solve this DS question. Any expert can help me here? Please. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1697 messages Followed by: 28 members Upvotes: 470 Vincen wrote: Is the area of the triangle ABC more than 12 sq. units? (1) The GCD of the sides AB and AC is 2. (2) The LCM of the sides AB and AC is 12. The OA is C. I would like to knwo how to solve this DS question. Any expert can help me here? Please. (1) The GCD of the sides AB and AC is 2. Case 1: If AB = 2 and AC = 2 and ABC is a rightangled triangle, then the area of the triangle ABC = (1/2)*AB*AC= 1/2*2*2 = 2 < 12. Case 2: If AB = 3 and AC = 10 and ABC is a rightangled triangle, then the area of the triangle ABC = (1/2)*AB*AC= 1/2*6*10 = 30 > 12. No unique answer. Insufficient. (2) The LCM of the sides AB and AC is 12. Case 1: If AB = 3 and AC = 4 and ABC is a rightangled triangle, then the area of the triangle ABC = (1/2)*AB*AC= 1/2*3*4 = 6 < 12. Case 2: If AB = 3 and AC = 12 and ABC is a rightangled triangle, then the area of the triangle ABC = (1/2)*AB*AC= 1/2*6*12 = 36 > 12. No unique answer. Insufficient. (1) and (2) together Since GCD = 2 and LCM = 12, we have AB*AC = 2*12 = 24. The maximum possible area of the triangle ABC = (1/2)*AB*AC= 1/2*24 = 12 (Not greater than 12). Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | New Delhi | Seoul | Cairo | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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