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In the figure shown, if ∠A = 60°, ∠B = ∠C, and BC = 20, then AB =

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In the figure shown, if ∠A = 60°, ∠B = ∠C, and BC = 20, then AB =  [#permalink]

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New post 09 Oct 2018, 23:45
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A
B
C
D
E

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  15% (low)

Question Stats:

100% (00:47) correct 0% (00:00) wrong based on 19 sessions

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Re: In the figure shown, if ∠A = 60°, ∠B = ∠C, and BC = 20, then AB =  [#permalink]

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New post 10 Oct 2018, 00:01
Since A =60 degree
And B = C
i.e. it's an equilateral triangle
Means all sides are equal of ∆ABC

Hence AB =BC=20
OPTION:A

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Re: In the figure shown, if ∠A = 60°, ∠B = ∠C, and BC = 20, then AB =  [#permalink]

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New post 10 Oct 2018, 00:03
Bunuel wrote:
Image
In the figure shown, if ∠A = 60°, ∠B = ∠C, and BC = 20, then AB =


(A) \(20\)

(B) \(10 \sqrt{2}\)

(C) \(10 \sqrt{3}\)

(D) \(20 \sqrt{2}\)

(E) \(20 \sqrt{3}\)


Attachment:
triangle.jpg



Angle B = Angle C = x

60 + 2x = 180
2x = 120
x = 60

Equal angles correspond to equal lengths.


Since BC = 20 and angle A = 60

Then AB = 20

Answer choice A

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Re: In the figure shown, if ∠A = 60°, ∠B = ∠C, and BC = 20, then AB =  [#permalink]

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New post 10 Oct 2018, 01:44
Bunuel wrote:
Image
In the figure shown, if ∠A = 60°, ∠B = ∠C, and BC = 20, then AB =


(A) \(20\)

(B) \(10 \sqrt{2}\)

(C) \(10 \sqrt{3}\)

(D) \(20 \sqrt{2}\)

(E) \(20 \sqrt{3}\)


Attachment:
triangle.jpg



A = 60

B = C.


A + B + C = 180

60 + B + B = 180

B = 60

60-60-60 Triangle.


It means all the legs of the triangle must be equal.

BC = 20

AB = 20.


A is the best answer.
GMAT Club Bot
Re: In the figure shown, if ∠A = 60°, ∠B = ∠C, and BC = 20, then AB =   [#permalink] 10 Oct 2018, 01:44
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In the figure shown, if ∠A = 60°, ∠B = ∠C, and BC = 20, then AB =

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