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# In the figure, ABCDEF is a regular hexagon with side 1cm

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Manager
Joined: 08 Apr 2017
Posts: 78
In the figure, ABCDEF is a regular hexagon with side 1cm  [#permalink]

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31 May 2018, 17:34
1
4
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Difficulty:

65% (hard)

Question Stats:

45% (01:40) correct 55% (02:36) wrong based on 48 sessions

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In the figure, ABCDEF is a regular hexagon with side 1cm. What is the area of triangle BDX?

A. AF = FX

B. $$\angle AFX$$ = $$\angle XFE$$

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fig 3.PNG [ 2.52 KiB | Viewed 963 times ]

Math Expert
Joined: 02 Aug 2009
Posts: 7212
In the figure, ABCDEF is a regular hexagon with side 1cm  [#permalink]

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31 May 2018, 19:36
GMATSkilled wrote:
In the figure, ABCDEF is a regular hexagon with side 1cm. What is the area of triangle BDX?

A. AF = FX

B. $$\angle AFX$$ = $$\angle XFE$$

Are we supposed to find the actual area....NO
So what should be sufficient here..
INCASE the triangle formed is unique, our answer is YES..

Statement I gives the size of FX as 1
But it could be anywhere on the arc of 1 cm from F..
Insufficient
Statement II gives the angle AFX and XFE to be equal..
This tells us that x is on a line equidistant from B and D..
Do we know the line where x exists but not the distance from F..
Insufficient..

Combined..
We can draw the triangle as we know exact position of all three vertices X, B and D...
Sufficient
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Re: In the figure, ABCDEF is a regular hexagon with side 1cm  [#permalink]

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31 May 2018, 21:21
chetan2u :
Hi Could you please put some more light on this

Statement II gives the angle AFX and XFE to be equal..
This tells us that x is on a line equidistant from B and D..
How did you arrive at this ?
Director
Joined: 02 Oct 2017
Posts: 735
Re: In the figure, ABCDEF is a regular hexagon with side 1cm  [#permalink]

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30 Jun 2018, 09:46
vishuvashishth wrote:
chetan2u :
Hi Could you please put some more light on this

Statement II gives the angle AFX and XFE to be equal..
This tells us that x is on a line equidistant from B and D..
How did you arrive at this ?

I can try at my end

Angles are equal means that B,F and x are all lie in same line and can make triangle with this thats why we need that
Otherwise we are not sure whether BDX would result in triangle or not

For A- we need value of fx to calculate area so we not require exact value of area but we need it to calculate areas

Give kudos if it helps

Posted from my mobile device
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Re: In the figure, ABCDEF is a regular hexagon with side 1cm &nbs [#permalink] 30 Jun 2018, 09:46
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