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In the triangle ABC, what is the value of x ? ​

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In the triangle ABC, what is the value of x ? ​ [#permalink] New post 31 Jan 2019, 16:41
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Question Stats:

100% (00:50) correct 0% (00:00) wrong based on 6 sessions
Attachment:
#GREpracticequestion In the traingle ABC.jpg
#GREpracticequestion In the traingle ABC.jpg [ 11 KiB | Viewed 681 times ]


In \(\triangle ABC\), what is the value of x ? ​

A) 75

B) ​60

C) ​45 ​

D) 30

E) ​15
[Reveal] Spoiler: OA

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Re: In the triangle ABC, what is the value of x ? ​ [#permalink] New post 01 Feb 2019, 07:41
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Carcass wrote:
Attachment:
#GREpracticequestion In the traingle ABC.jpg

Image
In \(\triangle ABC\), what is the value of x ? ​

A) 75

B) ​60

C) ​45 ​

D) 30

E) ​15


Notice that the length of the hypotenuse (8) is TWICE the length of one of the legs (4).

This should remind us of the 30-60-90 SPECIAL right triangle, in which the hypotenuse is TWICE the length of one of the legs.

Here's the BASE 30-60-90 SPECIAL right triangle
Image

So, even though the diagram is definitely NOT drawn to scale, we can conclude that x must equal 60°

Answer: B

Cheers,
Brent
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Re: In the triangle ABC, what is the value of x ? ​   [#permalink] 01 Feb 2019, 07:41
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