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

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Intern
Joined: 15 Sep 2013
Posts: 33
Concentration: Strategy, Entrepreneurship
GMAT 1: 680 Q47 V36
GMAT 2: 740 Q50 V40
GPA: 3.65
The lengths of three sides of a triangle are x, x + 2, and x  [#permalink]

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Updated on: 07 Oct 2013, 09:03
6
00:00

Difficulty:

65% (hard)

Question Stats:

57% (01:36) correct 43% (01:37) wrong based on 203 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.

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Originally posted by imsahlahno on 07 Oct 2013, 09:00.
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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Joined: 02 Sep 2009
Posts: 51218
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
1
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.

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Intern
Joined: 15 Sep 2013
Posts: 33
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.

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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
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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