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

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Joined: 18 Apr 2015
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Kudos [?]: 1118 [0], given: 5180

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

100% (00:44) correct 0% (00:00) wrong based on 3 sessions
Attachment:

#GREpracticequestion In the traingle ABC.jpg [ 11 KiB | Viewed 227 times ]

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

A) 75

B) ​60

C) ​45 ​

D) 30

E) ​15
[Reveal] Spoiler: OA

_________________
GRE Instructor
Joined: 10 Apr 2015
Posts: 1444
Followers: 54

Kudos [?]: 1368 [1] , given: 8

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

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

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

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

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