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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] New post 30 Nov 2018, 17:08
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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] New post 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] New post 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] New post 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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Two triangles, which is greater: x or y

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