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Founder  Joined: 18 Apr 2015
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Triangle RST is formed by the intersections of the line x = [#permalink]
Expert's post 00:00

Question Stats: 33% (02:05) correct 66% (02:04) wrong based on 42 sessions
Attachment: #GREpracticequestion Triangle RST is formed by the intersections .jpg [ 16.34 KiB | Viewed 2815 times ]

Triangle RST is formed by the intersections of the line x = 12 − 2y   with the two axes of the coordinate plane.

 Quantity A Quantity B The measure of angle RST 30°

Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Triangle RST is formed by the intersections of the line x = [#permalink]
Expert's post
Carcass wrote:
Attachment:
The attachment triangle.jpg is no longer available

Triangle RST is formed by the intersections of the line x = 12 − 2y   with the two axes of the coordinate plane.

 Quantity A Quantity B The measure of angle RST 30°

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

We have two cases..
I.. angle is RST
Sides are
x-intercpet...x=12-2*0=12 and
y-intercept...0=12-2y or y=6
II.
If angle is 30 and y is 6 ..
y:x:H = 1:√3:2 so x is 6√3

Now this is <12 so 30 is more than RST

B>A
Attachments PicsArt_10-22-05.03.56.jpg [ 9.52 KiB | Viewed 3559 times ]

_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Intern Joined: 21 Nov 2018
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Re: Triangle RST is formed by the intersections of the line x = [#permalink]
Pardon me for being naïve , but I didn't get the explanation. Can some please explain the logic behind the ratio equation ?
Director Joined: 09 Nov 2018
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Re: Triangle RST is formed by the intersections of the line x = [#permalink]
kunalkmr62 wrote:
Pardon me for being naïve , but I didn't get the explanation. Can some please explain the logic behind the ratio equation ?

It is not a equation but a relation among variable and value.
Director Joined: 09 Nov 2018
Posts: 506
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Kudos [?]: 54 , given: 1

Re: Triangle RST is formed by the intersections of the line x = [#permalink]
chetan2u wrote:

Now this is <12 so 30 is more than RST

B>A

Is this correct?
Director Joined: 09 Nov 2018
Posts: 506
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Kudos [?]: 54 , given: 1

Re: Triangle RST is formed by the intersections of the line x = [#permalink]
It is hard to me.
Supreme Moderator
Joined: 01 Nov 2017
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Kudos [?]: 159 , given: 4

Re: Triangle RST is formed by the intersections of the line x = [#permalink]
Expert's post
AE wrote:
chetan2u wrote:

Now this is <12 so 30 is more than RST

B>A

Is this correct?

Yes, it is correct...
$$6\sqrt{3}<6\sqrt{4}................6\sqrt{3}<6*2................6\sqrt{3}<12$$
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Director Joined: 09 Nov 2018
Posts: 506
Followers: 0

Kudos [?]: 54 , given: 1

Re: Triangle RST is formed by the intersections of the line x = [#permalink]
chetan2u wrote:
AE wrote:
chetan2u wrote:

Now this is <12 so 30 is more than RST

B>A

Is this correct?

Yes, it is correct...
$$6\sqrt{3}<6\sqrt{4}................6\sqrt{3}<6*2................6\sqrt{3}<12$$

ohhh! I was confused with the word 'this is', I thought something else in relation to angle.

I think I am clear now.
If angle=30 y=6 x=6[/square_root]3[square_root]
as x=12 that is x>12 angle must be less than 30 to commiserate with the other contents of the right triangle.
________________________________________________________________
Please let me know if I am wrong.
Director Joined: 09 Nov 2018
Posts: 506
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Kudos [?]: 54 , given: 1

Re: Triangle RST is formed by the intersections of the line x = [#permalink] Re: Triangle RST is formed by the intersections of the line x =   [#permalink] 20 Jan 2019, 19:51
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