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12 August, 10:35

The sides 5, 6, and 12 form a triangle. True or False

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  1. 12 August, 10:49
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    False

    Step-by-step explanation:

    According to the The Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater then the measure of the third side. So use this theorem to solve:

    6+12=18 and 18>5

    so far it is following the theorem but we need to make sure all of the sides follow it so lets continue.

    6+5 = 11 and 11<12

    This does not follow the theorem, so the sides 5,6, and 12 cannot form a triangle.
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