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Traingle Sides

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Senior Manager
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Joined: 05 Oct 2008
Posts: 272
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Kudos [?]: 156 [0], given: 22

Traingle Sides [#permalink] New post 25 Oct 2009, 10:39
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If the lengths of the sides of a triangle are a , b , and 7, which of the following could be the value of a – b ?

I. 4
II. 7
III. 12

I only
II only
I and II only
II and III only
I, II, and III
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Posts: 2493
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Kudos [?]: 593 [1] , given: 19

Re: Traingle Sides [#permalink] New post 27 Oct 2009, 18:45
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study wrote:
If the lengths of the sides of a triangle are a , b , and 7, which of the following could be the value of a – b ?

I. 4
II. 7
III. 12

I only
II only
I and II only
II and III only
I, II, and III




Use the third side rule: The third side is greater than than the difference of the rest two sides and smaller than the sum of those two sides.

Suppose three sides are 3, 4, and x: (4-3) < x < (3+4).

If so, (a-b) < 7. That is (a-b) can be 4 but not 7 or 12.

A.
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Re: Traingle Sides   [#permalink] 27 Oct 2009, 18:45
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