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

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Math Expert
Joined: 02 Sep 2009
Posts: 58432
In the triangle ABC, what is the value of x ? ​  [#permalink]

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31 Jan 2019, 22:01
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:12) correct 19% (01:34) wrong based on 30 sessions

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

A) 75

B) ​60

C) ​45 ​

D) 30

E) ​15

Attachment:

#GREpracticequestion In the traingle ABC.jpg [ 11 KiB | Viewed 478 times ]

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Re: In the triangle ABC, what is the value of x ? ​  [#permalink]

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31 Jan 2019, 22:07
Bunuel wrote:

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

A) 75

B) ​60

C) ​45 ​

D) 30

E) ​15

IMO B

The triangle will be a 30 60 90 degree triangle

Even if you apply Pythagoras, side opposite to B will be $$\sqrt{48}$$, which is 4$$\sqrt{3}$$
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Re: In the triangle ABC, what is the value of x ? ​  [#permalink]

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01 Feb 2019, 16:29
Can be solved in seconds using basic Trigonometry.

We know cosine or cos of an angle in a right angled triangle is base/hypotenuse.

In this question, we know base/hypotenuse = 4/8 = 1/2

Also cosine 60 = 1/2.

Hence x = 60 deg.
Re: In the triangle ABC, what is the value of x ? ​   [#permalink] 01 Feb 2019, 16:29
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