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Re: Which is greater x or 90 [#permalink]
Hi can you please explain how you got this?
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Which is greater x or 90 [#permalink]
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This is a good question.

If the three sides of a triangle are specified, then there can only be one triangle shape that has those three sides. This is what is called congruence in geometry.

Moreover, the 3 sides are in a similar fashion of the triplets geometry : 3,4,5; 6,8,10 and so on (you should memorize for the test at very least the first 5 triplets)

If in our case the triplet is 6,8,11 and x must be the greatest angle because it corresponds to the greatest side ( 11 )

Therefore, if the triplet term 10 = 90° then 11 must be > 90°

A is the answer
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Re: Which is greater x or 90 [#permalink]
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Answer: A

If x was 90, then the triangle would be the right one and since we have 6 and 8 on the sides, the other side would be:

\(\sqrt{(6^2 + 8^2)} = 10\). But now it is 11, so x should be bigger than 90

Originally posted by Fatemeh on 15 Mar 2019, 12:11.
Last edited by Carcass on 15 Mar 2019, 12:16, edited 2 times in total.
Edited by Carcass
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Re: Which is greater x or 90 [#permalink]
Hi,

Yeah that explanation doesnt make too much sense. x can also easily equal 80 degrees while the opposite side will equal 40 degrees and the third side equals 60 degrees. Also, x can equal 95 degrees while the opposite side can simply equal 35 degrees and the third side can equal 50 degrees. This would work given the largest side and smallest sides would be opposite their respective angles. The answer should be D.
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x or 90 [#permalink]
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Attachment:
GRE geometry x or 90.jpg
GRE geometry x or 90.jpg [ 7.73 KiB | Viewed 1848 times ]


Quantity A
Quantity B
x
90


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


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Re: Which is greater x or 90 [#permalink]
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