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21 August, 10:35

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

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  1. 21 August, 13:12
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    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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