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In ΔJKL shown above, what is the length of segment JL ?
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26 Apr 2019, 02:59
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86% (00:39) correct 14% (00:33) wrong based on 72 sessions
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In ΔJKL shown above, what is the length of segment JL ? (1) JK = 10 (2) KL = 5 DS83602.01 OG2020 NEW QUESTION Attachment:
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Re: In ΔJKL shown above, what is the length of segment JL ?
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26 Apr 2019, 15:15
The Logical approach to this question will use the fact that in order to find the measurements of all of the sides of a 306090 triangle (or a 454590 triangle) all ee need is one side. In this question each of the statements gives us the length of one side, and thus they each suffice on their own. The correct answer is (D). Posted from my mobile device
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Re: In ΔJKL shown above, what is the length of segment JL ?
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27 Apr 2019, 17:24
Bunuel wrote: In ΔJKL shown above, what is the length of segment JL ? (1) JK = 10 (2) KL = 5 DS83602.01 OG2020 NEW QUESTION \(\triangle{JKL}\) is a 306090 degree special right triangle with a ratio of \(1:\sqrt{3}:2\) for its corresponding sides. The original question: \(JL=?\) 1) We know that \(JK=10\), the angle opposite \(JK\) is \(90^{\circ}\), and the angle opposite \(JL\) is \(60^{\circ}\), so \(JL:10=\sqrt{3}:2\). Thus, we could get a unique value to answer the original question. \(\implies\) Sufficient2) We know that \(KL=5\), the angle opposite \(KL\) is \(30^{\circ}\), and the angle opposite \(JL\) is \(60^{\circ}\), so \(JL:5=\sqrt{3}:1\). Thus, we could get a unique value to answer the original question. \(\implies\) SufficientAnswer: D
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Re: In ΔJKL shown above, what is the length of segment JL ?
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12 May 2019, 14:06
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 : X√3 : 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: GMAT assassins aren't born, they're made, Rich
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Re: In ΔJKL shown above, what is the length of segment JL ?
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12 May 2019, 19:09
Bunuel wrote: In ΔJKL shown above, what is the length of segment JL ? (1) JK = 10 (2) KL = 5 DS83602.01 OG2020 NEW QUESTION Attachment: 20190426_1358.png We see that we have a 306090 right triangle, which has sides in the following ratio: x : x√3 : 2x Thus, if we know the length of either JK or KL, we can determine the length of JL. Statement One Alone: JK = 10 Since JK = 10, 2x = 10, so x = 5, and thus JL = 5√3. Statement one is sufficient to answer the question. Statement Two Alone: KL = 5 Since KL = 5, JL = 5√3. Statement two alone is sufficient to answer the question. Answer: D
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Re: In ΔJKL shown above, what is the length of segment JL ?
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13 May 2019, 10:47
Bunuel wrote: In ΔJKL shown above, what is the length of segment JL ? (1) JK = 10 (2) KL = 5 DS83602.01 OG2020 NEW QUESTION Attachment: 20190426_1358.png KEY CONCEPT: 306090 triangles are known as special right triangles, and we know quite a bit about this kind of triangleTarget question: What is the length of segment JL ? Statement 1: JK = 10 Compare ΔJKL with the BASE 306090 triangle. Their corresponding hypotenuses are 10 and 2, which tells us that ΔJKL is 5 times the size of BASE 306090 triangle. So, the length of segment JL will be 5 times the size its corresponding side (with length √3) In other words, JL must have length 5√3Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: KL = 5The corresponding sides here have lengths 5 and 1, which tells us that ΔJKL is 5 times the size of BASE 306090 triangle. So, JL must have length 5√3Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: D Cheers, Brent
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Re: In ΔJKL shown above, what is the length of segment JL ?
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