Difficult Math Problem #88 - Geometry

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800guy
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Topic: Difficult Math Problem #88 - Geometry
PostFri Jan 19, 2007 10:32 am
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Which of the sets of numbers can be used as the lengths of the sides of a triangle?

I. [5,7,12]
II. [2,4,10]
III. [5,7,9]

A. I only
B. III only
C. I and II only
D. I and III only
E. II and III only

from 'difficult math problems' problem set. OA coming after some people attempt answers/explanations
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AMalik
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PostFri Jan 19, 2007 11:19 am
800guy wrote:
Which of the sets of numbers can be used as the lengths of the sides of a triangle?

I. [5,7,12]
II. [2,4,10]
III. [5,7,9]

A. I only
B. III only
C. I and II only
D. I and III only
E. II and III only

from 'difficult math problems' problem set. OA coming after some people attempt answers/explanations
Definitely Answer should be B
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maxim730
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PostFri Jan 19, 2007 11:50 am
Yeah, B

he length of the 2 smallest sides HAS to be greater than the 3rd side. So B.
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800guy
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PostMon Jan 22, 2007 5:57 pm
OA:

For any side of a triangle. Its length must be greater than the difference between the other two sides, but less than the sum of the other two sides.
Answer is B
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