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

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In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r [#permalink] New post 13 Apr 2019, 06:36
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91% (02:13) correct 8% (02:07) wrong based on 23 sessions
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#GREpracticequestion In Figure 1, y =.jpg
#GREpracticequestion In Figure 1, y =.jpg [ 43.94 KiB | Viewed 2172 times ]


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) \(3 : 2 : 1\)
[Reveal] Spoiler: OA

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Re: In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r [#permalink] New post 06 Aug 2019, 01:22
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Re: In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r [#permalink] New post 11 Aug 2019, 01:53
Expert's post
In a triangle 30:60:90 the angle are \(x:\sqrt{3} x :2x\)

Knowing that \(y=\sqrt{3}x\) and \(z=2x\) the two triangles are similar. Same proportion and angles

B is the answer
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Re: In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r [#permalink] New post 06 Sep 2019, 19:03
Carcass wrote:
Attachment:
#GREpracticequestion In Figure 1, y =.jpg


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) \(3 : 2 : 1\)

It follows the 30-60-90 Special Right Triangle rule wherein root3:1:2 is the answer.
Re: In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r   [#permalink] 06 Sep 2019, 19:03
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In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r

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