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  # Two triangles, which is greater: x or y
  
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  Two triangles, which is greater: x or y [#permalink]  30 Nov 2018, 17:08
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  99% (00:31) correct 0% (00:00) wrong based on 14 sessions
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   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
  
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  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.
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  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
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  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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