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akashjan10
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Triangles 19 Jul 2017, 13:50
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Okay.

I feel the answer should be II only.

But according to the kaplan book it is I and II only.

Why should I option: x>50 be true? (x=65) and any number between 50 and 65 would make the figure not a triangle.

Can someone please explain this to me please?



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Triangles 19 Jul 2017, 14:28
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The option, i, is based on the given facts of the triangle. Not the other way around! So based on the facts given about the triangle, we know there is only 1 value for x, and that is 65. Therefore, option i must be true, since 65>50.

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Triangles 19 Jul 2017, 14:34
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clee1827
The option, i, is based on the given facts of the triangle. Not the other way around! So based on the facts given about the triangle, we know there is only 1 value for x, and that is 65. Therefore, option i must be true, since 65>50.

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Another way to think about it is that option ii doesn't explicitly state a certain length, but we know that, based on the diagram of the triangle and it's angles, the length must be greater than 10. In the same way, we know that, based on the diagram, the angle x must be greater than 50 degrees.

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Triangles 19 Jul 2017, 18:39
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From the given info x+x+x-15 = 180 => x = 65, and we know AB =10.
So I is true, solving for AC will tell us AC < 10 => II is true. But III is false
Hence overall the ans is Option 3 (I and II only)
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Triangles 20 Jul 2017, 05:39
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akashjan10


Okay.

I feel the answer should be II only.

But according to the kaplan book it is I and II only.

Why should I option: x>50 be true? (x=65) and any number between 50 and 65 would make the figure not a triangle.

Can someone please explain this to me please?

Please read carefully and follow our RULES OF POSTING. Thank you.



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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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