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length of the third side

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by EricKryk » Fri Jan 24, 2014 9:27 am
If 3 and 8 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?

_______________I. 5
_______________II. 8
_______________III. 11

A) II only
B) III only
C) I and II only
D) II and III only
E) I, II, and III
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by Brent@GMATPrepNow » Fri Jan 24, 2014 9:31 am
EricKryk wrote:If 3 and 8 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?

_______________I. 5
_______________II. 8
_______________III. 11

A) II only
B) III only
C) I and II only
D) II and III only
E) I, II, and III
IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . .
difference between sides A and B < third side < sum of sides A and B

So, for this question: 8 - 3 < third side < 8 + 3
Simplify: 5 < third side < 11

So, the third side must be LONGER than 5 and SHORTER than 11
Answer: A

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by Patrick_GMATFix » Fri Jan 24, 2014 9:41 am
the length of the 3rd side of any triangle is greater than the positive difference between the other two side lengths, but less than the sum of the other two side lengths. The solution below is taken from the GMATFix App.

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