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# Two triangles, which is greater: x or y

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Founder
Joined: 18 Apr 2015
Posts: 6647
Followers: 107

Kudos [?]: 1275 [0], given: 6017

Two triangles, which is greater: x or y [#permalink]  30 Nov 2018, 17:08
Expert's post
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Question Stats:

99% (00:31) correct 0% (00:00) wrong based on 14 sessions
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GRE exam - Two triangles, which is greater x or y.jpg [ 12.77 KiB | Viewed 1388 times ]

 Quantity A Quantity B x y

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.
[Reveal] Spoiler: OA

_________________
Director
Joined: 09 Nov 2018
Posts: 509
Followers: 0

Kudos [?]: 23 [0], given: 1

Re: Two triangles, which is greater: x or y [#permalink]  11 Jan 2019, 17:20
A: 25-13=12
B:25-11= 14

Hence B.
Moderator
Joined: 22 Oct 2018
Posts: 43
Followers: 5

Kudos [?]: 45 [0], given: 5

Re: Two triangles, which is greater: x or y [#permalink]  11 Jan 2019, 21:05
Using Pythagoras theorem,

For the right-angled triangle that contains x

=> $$5^2 = (\sqrt{13})^2 + x^2$$

=> => $$x^2 = 5^2 - 13$$

=> $$x = \sqrt{12}$$

For the right-angled triangle that contains y

=> $$5^2 = (\sqrt{11})^2 + y^2$$

=> => $$y^2 = 5^2 - 11$$

=> $$y = \sqrt{14}$$

Hence y is greater than x
Moderator
Joined: 22 Oct 2018
Posts: 43
Followers: 5

Kudos [?]: 45 [0], given: 5

Re: Two triangles, which is greater: x or y [#permalink]  11 Jan 2019, 21:10
AE wrote:
A: 25-13=12
B:25-11= 14

Hence B.

@AE

Quantity A is $$\sqrt{12}$$ instead of 12 and Quantity B is $$\sqrt{14}$$ instead of 14.
Re: Two triangles, which is greater: x or y   [#permalink] 11 Jan 2019, 21:10
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