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13 May 2021, 01:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:42) correct
30%
(02:45)
wrong
based on 46
sessions
History
Date
Time
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Not Attempted Yet
The diagonal of a square is the height in an equilateral triangle. If the side of the square is x, what is the side of the equilateral triangle in terms of x?
A. √(2/3)*x
B. 2/√3*x
C. √3x
D. √(8/3)*x
E. 2√3*x
Attachment:
1.png [ 3.31 KiB | Viewed 2399 times ]
13 May 2021, 02:46
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Bunuel
\(\sqrt{2}\) * x = \(\frac{\sqrt{3}}{2}\) * a
a = side of equilateral triangle
a= 2\(\frac{\sqrt{2}}{\sqrt{3}} \)* x
=\(\sqrt{\frac{8}{3}}\) * x
D is the answer IMO
13 May 2021, 03:03
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Bunuel
Side of square = x
So, diagonal =\( x \sqrt{2}\)
Also, height of an equilateral triangle = \(\frac{\sqrt{3}}{2} * a\)
So, \(\frac{\sqrt{3}}{2} * a = x\sqrt{2}\)
\(a = \frac{x * 2 * \sqrt{2}}{\sqrt{3}}\)
\(a = \frac{\sqrt{8}}{\sqrt{3}}x\) --(D)
