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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # A right triangle has a hypotenuse of 12 and legs of 9 and y.  Question banks Downloads My Bookmarks Reviews Important topics
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GRE Prep Club Legend  Joined: 07 Jun 2014
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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]
Expert's post 00:00

Question Stats: 94% (00:30) correct 5% (00:00) wrong based on 19 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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Re: A right triangle has a hypotenuse of 12 and legs of 9 and y. [#permalink]
1
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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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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

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Re: A right triangle has a hypotenuse of 12 and legs of 9 and y. [#permalink]
No need calculation. As hypotenuses hold highest value, Value of y should be less than hypotenuses. Hence B. Supreme Moderator
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Re: A right triangle has a hypotenuse of 12 and legs of 9 and y. [#permalink]
1
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Expert's post
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
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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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