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Which is greater \sqrt of 8 or the length of line segment PR
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19 Jan 2020, 12:33
19 Jan 2020, 12:33
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Question Stats:
57% (01:20) correct
42% (01:27) wrong based on 49 sessions
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Attachment:
#greprepclub the length of line segment PR.jpg [ 16.02 KiB | Viewed 5403 times ]
Quantity A |
Quantity B |
\(\sqrt{8}\) |
The length of line segment PR |
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
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Joined: 03 Dec 2019
Posts: 348
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Re: Which is greater \sqrt of 8 or the length of line segment PR
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20 Jan 2020, 08:44
20 Jan 2020, 08:44
1
Carcass wrote:
Attachment:
#greprepclub the length of line segment PR.jpg
Quantity A |
Quantity B |
\(\sqrt{8}\) |
The length of line segment PR |
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
Triangle QSR is a 45-45-90 triangle, so by Pythagoras theorem,
SR is = √2
PQS is a 30-60-90 triangle, which should divide the sides in 1:√3:2 ratio
so for this triangle, the sides become √2:√6:2√2
PS = √6
Quantity B: PR = √6 + √2
Quantity A = √8 = 2√2 = √2+√2
√6 > √2
Hence, Quantity B is greater.
Re: Which is greater \sqrt of 8 or the length of line segment PR
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08 Sep 2022, 01:28
08 Sep 2022, 01:28
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