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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 ## In triangle JKL shown above, what is the length of segment tagged by: AbeNeedsAnswers ##### This topic has 3 expert replies and 0 member replies ## In triangle JKL shown above, what is the length of segment ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult In triangle JKL shown above, what is the length of segment JL ? (1) JK = 10 (2) KL = 5 D Source: Official Guide 2020 ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Hi All, Based on the triangle JKL above, we know that we're dealign with a 30/60/90 right triangle. We're asked for the length of segment JL. The 30/60/90 triangle has a specific 'ratio of sides' (re: X : Xâˆš3 : 2X), meaning that if we know 1 of the sides, then we can determine the lengths of the other 2. By extension, depending on the information in the two Facts, we could potentially answer this question without doing any math at all. (1) JK = 10 Fact 1 gives us the hypotenuse of the triangle, so we can figure out the exact values of the other two sides. Fact 1 is SUFFICIENT (2) KL = 5 Fact 2 gives us the 'short leg' of the triangle, so we can figure out the exact values of the other two sides. Fact 2 is SUFFICIENT Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 02 Jun 2008 Posted: 2475 messages Followed by: 350 members Upvotes: 1090 GMAT Score: 780 In general, if you know all three angles in a triangle (which we do here, since from two angles we can find the third using the fact that a triangle's angles sum to 180), and you know one of the triangle's sides, the other two sides are completely determined, so it must somehow be possible to work out how long they are. So the answer here is instantly D. We don't even need to notice here that we have the familiar 30-60-90 triangle. _________________ If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12985 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 AbeNeedsAnswers wrote: In triangle JKL shown above, what is the length of segment JL ? (1) JK = 10 (2) KL = 5 D Source: Official Guide 2020 KEY CONCEPT: 30-60-90 triangles are known as special right triangles, and we know quite a bit about this kind of triangle Target question: What is the length of segment JL ? Statement 1: JK = 10 Compare Î"JKL with the BASE 30-60-90 triangle. Their corresponding hypotenuses are 10 and 2, which tells us that Î"JKL is 5 times the size of BASE 30-60-90 triangle. So, the length of segment JL will be 5 times the size its corresponding side (with length âˆš3) In other words, JL must have length 5âˆš3 Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: KL = 5 The corresponding sides here have lengths 5 and 1, which tells us that Î"JKL is 5 times the size of BASE 30-60-90 triangle. So, JL must have length 5âˆš3 Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: D Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! • Free Practice Test & Review How would you score if you took the GMAT 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 for0

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