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26 Apr 2019, 02:59
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D
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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
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2019-04-26_1358.png [ 6.45 KiB | Viewed 29496 times ]
26 Apr 2019, 15:15
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The Logical approach to this question will use the fact that in order to find the measurements of all of the sides of a 30-60-90 triangle (or a 45-45-90 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).
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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
27 Apr 2019, 17:24
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Bunuel
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 30-60-90 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. \(\implies\) Sufficient
2) 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. \(\implies\) Sufficient
Answer: D
