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AB=4,BC=24, and AD=26
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18 Sep 2020, 10:27
18 Sep 2020, 10:27
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Expert Reply
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Question Stats:
51% (02:31) correct
48% (02:35) wrong based on 78 sessions
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AB=4,BC=24, and AD=26
Quantity A |
Quantity B |
The length of segment CD |
10 |
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.
320 GRE Math Questions
Re: AB=4,BC=24, and AD=26
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19 Sep 2020, 06:45
19 Sep 2020, 06:45
5
If you create an imaginary rectangle of vertices ABCX (with X the imaginary vertex), you get a triangle AXD. Then, you can use Pythagoras:
\((AX)^2 + (XD)^2 = (AD)^2\)
\(24^2 + (XD)^2 = 26^2\)
doing some math:
XD = 10.
but they are asking for CD, therefore,
(remember that XC = AB = 4)
CD = XD - XC,
CD = 10 - 4
CD = 6,
In conclusion, A<B, option B.
\((AX)^2 + (XD)^2 = (AD)^2\)
\(24^2 + (XD)^2 = 26^2\)
doing some math:
XD = 10.
but they are asking for CD, therefore,
(remember that XC = AB = 4)
CD = XD - XC,
CD = 10 - 4
CD = 6,
In conclusion, A<B, option B.
General Discussion
Re: AB=4,BC=24, and AD=26
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18 Sep 2020, 10:28
18 Sep 2020, 10:28
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
