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In ΔJKL shown above, what is the length of segment JL?
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Updated on: 16 Dec 2018, 06:58
Question Stats:
88% (00:24) correct 12% (00:39) wrong based on 122 sessions
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Originally posted by Bunuel on 09 Dec 2014, 06:27.
Last edited by gmatbusters on 16 Dec 2018, 06:58, edited 1 time in total.
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Re: In ΔJKL shown above, what is the length of segment JL?
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09 Dec 2014, 07:03
In ΔJKL shown above, what is the length of segment JL?
(1) JK = 10
First off, we should recognize right away that angle L measures 90 degrees since the three angles of any triangle add up to 180 degrees. Now that we know the triangle is a 306090 degree right triangle, we only need the length of any one side to figure out the length of any of the other sides. We are told segment JK = 10, so we can figure out that JL would equal 5*sqrt(3) using the properties of 306090 degree right triangles.
(2) KL = 5
We can apply the same logic that we applied in Statement 1 using the information we receive in Statement 2. Again, it is imperative to recognize that angle L measures 90 degrees. We are given that segment KL = 5, so using the properties of a 306090 degree right triangle, we can see that segment JL measures 5*sqrt(3) units.
Each statement alone is sufficient to answer the question. Answer is D.



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Re: In ΔJKL shown above, what is the length of segment JL?
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09 Dec 2014, 09:31
In ΔJKL shown above, what is the length of segment JL?
As this is a 306090 triangle, knowing any one side will enable us to calculate the lengths of the other two sides in the ratio of 1:sqrt(3):2, respectively.
(1) JK = 10 Sufficientwe can calculate the lengths of any other side. (2) KL = 5 Sufficientwe can calculate the lengths of any other side.
Choice D



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Re: In ΔJKL shown above, what is the length of segment JL?
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10 Dec 2014, 02:40
ΔJKL is right angle triangle. What is the length of segment JL? The length of legs in every 306090 right angle triangle is in the ratio \(1:\sqrt{3}: 2\) Or, KL : JL : JK = \(1:\sqrt{3}: 2\)
Statement (1) JK = 10 \(\frac{{JL}}{{JK}}= \sqrt{3}/2\)
or, JL = \(5\sqrt{3}\).......................................... sufficient.
Statement (2) KL=5 \(\frac{{JL}}{{KL}}=\sqrt{3}\)
or, JL = \(5\sqrt{3}\)......................................... sufficient.
Answer: D



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Re: In ΔJKL shown above, what is the length of segment JL?
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26 Dec 2014, 09:59



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Re: In ΔJKL shown above, what is the length of segment JL?
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04 Aug 2016, 13:52
The key to solving this question is determining that the given triangle is 30  60  90 right triangle sides opposite to angles are in ratio of 1 :\(\sqrt{3}\) : 2 Statement 1 gives us the length of side opposite to right angle we can determine all 3 sides from this data so sufficient Statement 2 gives us the length of side opposite to 30 deg angle we can determine all 3 sides from this data so sufficient Correct Answer  D



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Re: In ΔJKL shown above, what is the length of segment JL?
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17 Dec 2018, 16:47
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