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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...

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by AAPL » Mon Feb 08, 2021 3:46 am
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GMAT Paper Tests

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

OA A
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Re: If 3 and 8 are the lengths of two sides of a triangular region, which of the following can be the length of the thir

by Brent@GMATPrepNow » Mon Feb 08, 2021 5:50 am
AAPL wrote: ↑
Mon Feb 08, 2021 3:46 am
 GMAT Paper Tests

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

OA A
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
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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