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In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure

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In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure  [#permalink]

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New post 10 Apr 2019, 00:38
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  35% (medium)

Question Stats:

77% (01:39) correct 23% (02:39) wrong based on 13 sessions

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In Figure 1, \(y = \sqrt{3}*x\) and z = 2x. What is the ratio p : q : r in Figure 2?


(A) 1 : 2 : 3

(B) \(\sqrt{3} : 1 : 2\)

(C) \(1 : \sqrt{\frac{3}{2}} : 1\)

(D) \(2 : \sqrt{3} : 1\)

(E) 3 : 2 : 1

Attachment:
2019-04-10_1136.png
2019-04-10_1136.png [ 44 KiB | Viewed 171 times ]

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In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure  [#permalink]

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New post 10 Apr 2019, 02:51
Bunuel wrote:
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In Figure 1, \(y = \sqrt{3}*x\) and z = 2x. What is the ratio p : q : r in Figure 2?


(A) 1 : 2 : 3

(B) \(\sqrt{3} : 1 : 2\)

(C) \(1 : \sqrt{\frac{3}{2}} : 1\)

(D) \(2 : \sqrt{3} : 1\)

(E) 3 : 2 : 1

Attachment:
2019-04-10_1136.png


we get an triplet here
so side 30:60:90 x:√3x:2x
so ratio of sides in p:q:r \(\sqrt{3} : 1 : 2\)

IMO B
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In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure   [#permalink] 10 Apr 2019, 02:51
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In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r in Figure

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