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# The lengths of three sides of a triangle are x, x + 2, and x

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Joined: 15 Sep 2013
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Concentration: Strategy, Entrepreneurship
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The lengths of three sides of a triangle are x, x + 2, and x [#permalink]

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07 Oct 2013, 09:00
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58% (01:01) correct 42% (01:09) wrong based on 185 sessions

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The lengths of three sides of a triangle are x, x + 2, and x + 4. What is the area of the triangle?

(1) The triangle is a right triangle.
(2) The lengths of two of the sides (in inches) are 8 and 10.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 07 Oct 2013, 09:03, edited 1 time in total.
Renamed the topic and edited the question.

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Re: The lengths of three sides of a triangle are x, x + 2, and x [#permalink]

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07 Oct 2013, 09:08
The lengths of three sides of a triangle are x, x + 2, and x + 4. What is the area of the triangle?

(1) The triangle is a right triangle --> $$x^2+(x+2)^2=(x+4)^2$$ --> $$x=-2$$ (discard) or $$x=6$$. We know all 3 sides, thus we can find the area. Sufficient.

(2) The lengths of two of the sides (in inches) are 8 and 10. The sides can be 8, 10, 12 or 6, 8, 10. The areas of these triangles are different. Not sufficient.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rules 3 and 5. Thank you.
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Kudos [?]: 139200 [0], given: 12779

Intern
Joined: 15 Sep 2013
Posts: 44

Kudos [?]: 28 [0], given: 26

Concentration: Strategy, Entrepreneurship
GMAT 1: 680 Q47 V36
GMAT 2: 740 Q50 V40
GPA: 3.65
Re: The lengths of three sides of a triangle are x, x + 2, and x [#permalink]

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07 Oct 2013, 10:08
[quote="Bunuel"]The lengths of three sides of a triangle are x, x + 2, and x + 4. What is the area of the triangle?

(1) The triangle is a right triangle --> $$x^2+(x+2)^2=(x+4)^2$$ --> $$x=-2$$ (discard) or $$x=6$$. We know all 3 sides, thus we can find the area. Sufficient.

(2) The lengths of two of the sides (in inches) are 8 and 10. The sides can be 8, 10, 12 or 6, 8, 10. The areas of these triangles are different. Not sufficient.

Sry about that, will read the the forum rules before posting. thanks for the answer
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Re: The lengths of three sides of a triangle are x, x + 2, and x [#permalink]

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05 Jan 2018, 11:39
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Re: The lengths of three sides of a triangle are x, x + 2, and x   [#permalink] 05 Jan 2018, 11:39
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# The lengths of three sides of a triangle are x, x + 2, and x

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