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A right triangle has a hypotenuse of 12 and legs of 9 and y.

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GRE Prep Club Legend
GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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A right triangle has a hypotenuse of 12 and legs of 9 and y. [#permalink] New post 26 Sep 2018, 14:55
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Question Stats:

95% (00:30) correct 4% (00:00) wrong based on 22 sessions
A right triangle has a hypotenuse of 12 and legs of 9 and y.

Quantity A
Quantity B
y
15


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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Sandy
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Director
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Re: A right triangle has a hypotenuse of 12 and legs of 9 and y. [#permalink] New post 22 Oct 2018, 23:12
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We are given that the triangle is a right-angled triangle.
Therefore, the sides follow the Pythagoras theorem
\(y^2 + 9^2 = 12^2\)
or, \(y^2 = 144-81\)
or \(y^2 = 63\)
or, \(y = 7.93\)
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Director
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Re: A right triangle has a hypotenuse of 12 and legs of 9 and y. [#permalink] New post 11 Jan 2019, 21:36
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No need calculation. As hypotenuses hold highest value, Value of y should be less than hypotenuses. Hence B.
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Re: A right triangle has a hypotenuse of 12 and legs of 9 and y. [#permalink] New post 11 Jan 2019, 22:22
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sandy wrote:
A right triangle has a hypotenuse of 12 and legs of 9 and y.

Quantity A
Quantity B
y
15


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.



Given that 12 is the hypotenuse, the largest side of the triangle will be 12.

so y will be less than 12, and hence 15>y..
B>A

B
_________________

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

Re: A right triangle has a hypotenuse of 12 and legs of 9 and y.   [#permalink] 11 Jan 2019, 22:22
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A right triangle has a hypotenuse of 12 and legs of 9 and y.

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