Geometria

Two sides of a triangle are 11cm and 16cm what is the range of possible lengths for the third side

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  1. third side --- x

    by properties of sides of a triangle:
    x+11>16 and x+16 > 11 and 11+16> x
    x > 5 and x > -5 , (no argument there) and x < 27
    so x > 5 and x < 27 or
    5 < x < 27

    in words: the third side must be greater than 5 but less than 27

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  2. the 3rd side must be shorter than the sum of the 1st two sides
    ... and longer than their difference

    (11 + 16) > s > (16 - 11)

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