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

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sandy
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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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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.
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B
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amorphous
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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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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
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Re: A right triangle has a hypotenuse of 12 and legs of 9 and y. [#permalink] New post   19 Jun 2023, 06:58
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A right triangle has a hypotenuse of 12 and legs of 9 and y. [#permalink]
19 Jun 2023, 06:58
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