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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]  13 Apr 2019, 06:36
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Question Stats:

88% (02:26) correct 11% (02:07) wrong based on 18 sessions
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#GREpracticequestion In Figure 1, y =.jpg [ 43.94 KiB | Viewed 1733 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]  06 Aug 2019, 01:22
need explanation.
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Re: In Figure 1, y = 3x and z = 2x. What is the ratio p : q : r [#permalink]  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

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