Math help needed: which set of lengths could represent the sides of a triangle?

timer Asked: Dec 14th, 2015
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School: UC Berkeley


The lengths of a triangle's sides a, b, c must satisfy c<a+b, a<b+c, b<c+a,
and this is also a sufficient condition.

The first: 14<7+8, 7<8+14 and 8<7+14 are all true. YES

The second: 10<3+7 is false. NO

The third: 14<6+7 is false. NO

The fourth: 10<4+6 is false. NO

The answer: the first set only.

Please ask if something is unclear.

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awesome work thanks

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