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The hypotenuse of a right triangle with leg lengths 7 and 24
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19 Mar 2020, 10:26
19 Mar 2020, 10:26
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Question Stats:
73% (00:25) correct
26% (00:29) wrong based on 41 sessions
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Quantity A |
Quantity B |
The hypotenuse of a right triangle with leg lengths 7 and 24 |
25 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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Re: The hypotenuse of a right triangle with leg lengths 7 and 24
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21 Mar 2020, 06:24
21 Mar 2020, 06:24
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Carcass wrote:
Quantity A |
Quantity B |
The hypotenuse of a right triangle with leg lengths 7 and 24 |
25 |
APPROACH #1:
Before test day, it's useful to memorize the following Pythagorean triplets:
3-4-5
5-12-13
7-24-25
Although the first two triplets appear much more frequently on the GRE, the third one also shows up occasionally.
So if the two legs have lengths 7 and 24, the hypotenuse must have length 25, in which case the two quantities are equal.
Answer: C
APPROACH #2:
Since we have a right triangle, we can apply the Pythagorean theorem to write: 7² + 24² = hypotenuse²
Simplify: 49 + 576 = hypotenuse²
Simplify: 625 = hypotenuse²
Solve....hypotenuse = 25
Answer: C
Cheers,
Brent
Re: The hypotenuse of a right triangle with leg lengths 7 and 24
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12 Apr 2022, 01:12
12 Apr 2022, 01:12
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