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# In triangle RST, shown above, ∠RTS = 30° and ∠RST = 15°. What is the l

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In triangle RST, shown above, ∠RTS = 30° and ∠RST = 15°. What is the l  [#permalink]

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10 Feb 2019, 02:22
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In triangle RST, shown above, ∠RTS = 30° and ∠RST = 15°. What is the length of ST ?

A. 6
B. 12
C. 24
D. 36
E. 72

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Re: In triangle RST, shown above, ∠RTS = 30° and ∠RST = 15°. What is the l  [#permalink]

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10 Feb 2019, 02:57
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NJNJ.jpg

In triangle RST, shown above, ∠RTS = 30° and ∠RST = 15°. What is the length of ST ?

A. 6
B. 12
C. 24
D. 36
E. 72

IMO B

This means side ST will be the greatest side among all.

SR = 6$$\sqrt{2}$$ = 6*1.414 ~ 9

RT = 6($$\sqrt{3}$$ - 1) ~ 4

No ideally it can be 12, 9+4 > 12 & 5 < 12
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Re: In triangle RST, shown above, ∠RTS = 30° and ∠RST = 15°. What is the l   [#permalink] 10 Feb 2019, 02:57
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