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In the triangle, is y =30, then x =
[#permalink]
09 Dec 2017, 16:06
09 Dec 2017, 16:06
Expert Reply
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Question Stats:
80% (01:51) correct
20% (00:00) wrong based on 5 sessions
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In the triangle, is y =30, then x =
A. 3
B. 4
C. 5
D. 8
E. 9
Re: In the triangle, is y =30, then x =
[#permalink]
30 Jan 2018, 09:09
30 Jan 2018, 09:09
1
If y= 30degrees then this is a 30-60-90 triangle
30-60-90 triangle has respective opposite side in the ratio of \(X:X\sqrt{3}:2X\)
here side opposite 30 degree = 2x - 3
so side opposite 90 degree must be 2(2x - 3)
we already have side opposite 90 degree = x+6
therefore 2(2x-3) = x+6
solve for x; x = 4
(B)
30-60-90 triangle has respective opposite side in the ratio of \(X:X\sqrt{3}:2X\)
here side opposite 30 degree = 2x - 3
so side opposite 90 degree must be 2(2x - 3)
we already have side opposite 90 degree = x+6
therefore 2(2x-3) = x+6
solve for x; x = 4
(B)
gmatclubot
Re: In the triangle, is y =30, then x = [#permalink]
30 Jan 2018, 09:09
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