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GRE Math Challenge #9-triangle ABC, what is the value of x
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06 Sep 2014, 13:09
06 Sep 2014, 13:09
Expert Reply
00:00
Question Stats:
80% (00:51) correct
19% (00:34) wrong based on 51 sessions
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In triangle ABC, what is the value of x?
A 75
B 60
C 45
D 30
E 15
Re: GRE Math Challenge #9
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09 Sep 2014, 03:32
09 Sep 2014, 03:32
2
Considering, the ratio of the 3 sides
=> 8:4sqrt3:4 => 2:sqrt3:1
This implies that, this particular triangle is a 30:60:90 triangle. As angle x is opposite of the side with length 4sqrt3, hence it must be greater than the other angle (which is opposite of the side with length 4 units).
Hence, the value of x = 60
=> 8:4sqrt3:4 => 2:sqrt3:1
This implies that, this particular triangle is a 30:60:90 triangle. As angle x is opposite of the side with length 4sqrt3, hence it must be greater than the other angle (which is opposite of the side with length 4 units).
Hence, the value of x = 60
Re: GRE Math Challenge #9
[#permalink]
09 Sep 2014, 05:19
09 Sep 2014, 05:19
Expert Reply
13divyasha wrote:
Considering, the ratio of the 3 sides
=> 8:4sqrt3:4 => 2:sqrt3:1
This implies that, this particular triangle is a 30:60:90 triangle. As angle x is opposite of the side with length 4sqrt3, hence it must be greater than the other angle (which is opposite of the side with length 4 units).
Hence, the value of x = 60
=> 8:4sqrt3:4 => 2:sqrt3:1
This implies that, this particular triangle is a 30:60:90 triangle. As angle x is opposite of the side with length 4sqrt3, hence it must be greater than the other angle (which is opposite of the side with length 4 units).
Hence, the value of x = 60
I would have gone with cos inverse (4/8=0.5). But your method works too.
