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In the figure above, what is the length of LO ? [#permalink]
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04 Feb 2018, 20:10
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Re: In the figure above, what is the length of LO ? [#permalink]
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04 Feb 2018, 20:21
Knowing that triangle KJN is right triangle with two sides = 1, we know that the hypotenuse is Square root of 2. Since it is given that KN = KL = LM = MN, we know all sides are equal to sq. root 2. Knowing LM is = sq. root 2 and it is a 30, 60, 90 triangle, we can conclude LO is 2√2, or answer choice B



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Re: In the figure above, what is the length of LO ? [#permalink]
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05 Feb 2018, 08:29
uighelani wrote: Knowing that triangle KJN is right triangle with two sides = 1, we know that the hypotenuse is Square root of 2. Since it is given that KN = KL = LM = MN, we know all sides are equal to sq. root 2. Knowing LM is = sq. root 2 and it is a 30, 60, 90 triangle, we can conclude LO is 2√2, or answer choice B How do you know that it's a right triangle?



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Re: In the figure above, what is the length of LO ? [#permalink]
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05 Feb 2018, 08:38



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Re: In the figure above, what is the length of LO ? [#permalink]
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05 Feb 2018, 13:19
Bunuel wrote: Chakolate wrote: uighelani wrote: Knowing that triangle KJN is right triangle with two sides = 1, we know that the hypotenuse is Square root of 2. Since it is given that KN = KL = LM = MN, we know all sides are equal to sq. root 2. Knowing LM is = sq. root 2 and it is a 30, 60, 90 triangle, we can conclude LO is 2√2, or answer choice B How do you know that it's a right triangle? That sign indicates that angle J is 90 degrees. That tells you that KJN is right, not that LMO is. Or am I looking too hard for the trick? On the GMAT it's hard to tell just how suspicious one should be.



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Re: In the figure above, what is the length of LO ? [#permalink]
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05 Feb 2018, 21:44
Chakolate wrote: Bunuel wrote: Chakolate wrote: [quote="uighelani"]Knowing that triangle KJN is right triangle with two sides = 1, we know that the hypotenuse is Square root of 2. Since it is given that KN = KL = LM = MN, we know all sides are equal to sq. root 2. Knowing LM is = sq. root 2 and it is a 30, 60, 90 triangle, we can conclude LO is 2√2, or answer choice B How do you know that it's a right triangle? That sign indicates that angle J is 90 degrees. That tells you that KJN is right, not that LMO is. Or am I looking too hard for the trick? On the GMAT it's hard to tell just how suspicious one should be. [/quote] Because it is given KN = KL = LM = MN, meaning it’s a squares. So each interior angle = 90 degrees and therefore the corresponding exterior angle is also 90 degrees, making LMO a 30, 60 90 triangle. Sent from my iPhone using GMAT Club Forum mobile app



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Re: In the figure above, what is the length of LO ? [#permalink]
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06 Feb 2018, 08:02
uighelani wrote: Because it is given KN = KL = LM = MN, meaning it’s a squares. So each interior angle = 90 degrees and therefore the corresponding exterior angle is also 90 degrees, making LMO a 30, 60 90 triangle.
No, KN=KL=LM=MN means it's a rhombus, not necessarily a square. This may just be overly esoteric, since 'no way to tell' isn't one of the possible answers. It just seems a little sloppy to me.



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Re: In the figure above, what is the length of LO ? [#permalink]
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06 Feb 2018, 08:10
Chakolate wrote: uighelani wrote: Because it is given KN = KL = LM = MN, meaning it’s a squares. So each interior angle = 90 degrees and therefore the corresponding exterior angle is also 90 degrees, making LMO a 30, 60 90 triangle.
No, KN=KL=LM=MN means it's a rhombus, not necessarily a square. This may just be overly esoteric, since 'no way to tell' isn't one of the possible answers. It just seems a little sloppy to me. Sure  but a Rhombus with equals sides still means it has equal angles. (Regular) If you want to really be detailed, plug it into the polygonal angle formula and divide by 4. 180(N2) where N is the number of sides. 180(2) = 360. 360/4 = 90. Sent from my iPhone using GMAT Club Forum mobile app




Re: In the figure above, what is the length of LO ?
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