ItzJazzy ItzJazzy

20-11-2018
Mathematics

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Can the sides of a triangle have lengths 1, 7, and 11? Explain

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jimrgrant1 jimrgrant1

20-11-2018

No

Given 3 sides of a triangle, the sum of any 2 sides must be greater than the third side.

Consider the 3 given sides 1, 7 and 11

7 + 11 = 18 > 1

1 + 11 = 12 > 7

1 + 7 < 11 ⇒ not valid

Hence these sides do not form a triangle

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