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# For the triangles above, the perimeter of ABC equals the perimeter of

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Math Expert
Joined: 02 Sep 2009
Posts: 41688

Kudos [?]: 124488 [0], given: 12079

For the triangles above, the perimeter of ABC equals the perimeter of [#permalink]

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29 Aug 2017, 02:25
00:00

Difficulty:

15% (low)

Question Stats:

96% (00:23) correct 4% (00:00) wrong based on 42 sessions

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For the triangles above, the perimeter of ABC equals the perimeter of DEF. If ∆ ABC is equilateral, what is the length of side AB?

(A) 4
(B) 5
(C) 7
(D) 9
(E) 15

[Reveal] Spoiler:
Attachment:

2017-08-29_1322.png [ 8.62 KiB | Viewed 420 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 124488 [0], given: 12079

Director
Joined: 04 Dec 2015
Posts: 696

Kudos [?]: 266 [0], given: 261

Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
Re: For the triangles above, the perimeter of ABC equals the perimeter of [#permalink]

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29 Aug 2017, 02:33
Bunuel wrote:

For the triangles above, the perimeter of ABC equals the perimeter of DEF. If ∆ ABC is equilateral, what is the length of side AB?

(A) 4
(B) 5
(C) 7
(D) 9
(E) 15

[Reveal] Spoiler:
Attachment:
2017-08-29_1322.png

Perimeter of ∆ DEF $$= 4 + 8 + 9 = 21$$

Perimeter of ∆ DEF $$=$$ Perimeter of ∆ ABC $$= 21$$

∆ ABC is equilateral. Therefore all the sides are equal.

Therefore AB $$= \frac{21}{3} = 7$$

Kudos [?]: 266 [0], given: 261

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1414

Kudos [?]: 761 [0], given: 5

Re: For the triangles above, the perimeter of ABC equals the perimeter of [#permalink]

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01 Sep 2017, 12:10
Bunuel wrote:

For the triangles above, the perimeter of ABC equals the perimeter of DEF. If ∆ ABC is equilateral, what is the length of side AB?

(A) 4
(B) 5
(C) 7
(D) 9
(E) 15

Triangle DEF has a perimeter of 4 + 8 + 9 = 21. Since triangle ABC is equilateral (with all sides equal) and has the same perimeter as triangle DEF, we can create the following equation to determine n where n = a side of triangle ABC:

3n = 21

n = 7

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Jeffery Miller

GMAT Quant Self-Study Course
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Kudos [?]: 761 [0], given: 5

Intern
Joined: 05 Oct 2014
Posts: 20

Kudos [?]: 11 [0], given: 79

Concentration: Finance, Entrepreneurship
Re: For the triangles above, the perimeter of ABC equals the perimeter of [#permalink]

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07 Sep 2017, 13:49
Perimeter of triangle DEF = 4+8+9 = 21

Now the perimeter of ABC equals the perimeter of DEF. Also , triangle ABC is equilateral triangle , means each side equal.

Thus AB =BC= AC = 21/3 = 7

Correct option : C

Kudos [?]: 11 [0], given: 79

Re: For the triangles above, the perimeter of ABC equals the perimeter of   [#permalink] 07 Sep 2017, 13:49
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