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16 Oct 2022, 10:29
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
88% (01:43) correct
13%
(02:54)
wrong
based on 40
sessions
History
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Not Attempted Yet
Attachment:
663103a2486abe06a30b605297b4522d.jpg [ 5.19 KiB | Viewed 1169 times ]
A. 8 \(\sqrt{2}\)
B. 16 \(\sqrt{2}\)
C. 32 \(\sqrt{2}\)
D. 16 \(\sqrt{3}\)
E. 32 \(\sqrt{3}\)
16 Oct 2022, 21:07
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Afroditee
Join A and D as shown in the sketch. Also extend AB to meet perpendicular from D at E.
We have a right angled triangle ADE, where AE is 10+6 or 16 and DE is 16.
Hence, AD is \(\sqrt{16^2+16^2}\) or \(16\sqrt{2}\)
B
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757E3B7D-4B09-489D-8B4A-657D70A4F503.jpeg [ 6.34 KiB | Viewed 1083 times ]
16 Oct 2022, 22:34
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It's easier to figure out the solution, if we extend the sides to make it a square. Side of the square is 16, so its diagonal would be the straight line. And diagonal of square is S√2, hence 16√2 is the answer.
