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23 May 2020, 07:22
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (02:02) correct
25%
(02:15)
wrong
based on 462
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What is the perimeter of the 5-sided figure RSTVW shown above?
(1) The perimeter of ΔRST is \(3 + \sqrt{3}\).
(2) RW = RS = ST = TV
DS21263
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23 May 2020, 20:04
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Bunuel
Information..
Sum of angles of \(\triangle RWV = x+2x+3x=180...x=30\), so it is a 30-60-90 triangle. As RV=2, RW=1, and WV=\(\sqrt{3}\)
We require the length of RS, ST, TV
(1) The perimeter of ΔRST is \(3 + \sqrt{3}\).
We cannot find sides from it.
(2) RW = RS = ST = TV
Rw=1, so RW = RS = ST = TV=1.
Perimeter of the 5-sided figure RSTVW = \(RW + RS + ST + TV+WV=1+1+1+1+\sqrt{3}=4+\sqrt{3}\)
Suff
B
22 Aug 2020, 08:37
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Hi Bunuel,
Just because I want to be sure... the first statement is insufficient because we can't assume that triangle RWV is congruent with the triangle RVT even when in the diagram they look similar?
Just because I want to be sure... the first statement is insufficient because we can't assume that triangle RWV is congruent with the triangle RVT even when in the diagram they look similar?
