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

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

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New post Updated on: 07 Oct 2013, 10:03
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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, 10:00.
Last edited by Bunuel on 07 Oct 2013, 10:03, 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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New post 07 Oct 2013, 10:08
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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 --> \(x^2+(x+2)^2=(x+4)^2\) --> \(x=-2\) (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.

Answer: A.

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

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New post 07 Oct 2013, 11:08
[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.

Answer: A.


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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New post 05 Jan 2018, 12:39
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Re: The lengths of three sides of a triangle are x, x + 2, and x   [#permalink] 05 Jan 2018, 12:39
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