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11 September, 08:19

The lengths of two sides of a triangle are 8 feet and 12 feet. Find the range of the possible lengths for the third side

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  1. 11 September, 08:20
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    Step-by-step explanation:

    The longest side of a triangle must be less than the sum of the shorter sides.

    If 8 and 12 are the shorter sides, and c is the longest side, then:

    c < 8 + 12

    c < 20

    If c and 8 are the shorter sides, and 12 is the longest side then:

    12 < c + 8

    4 < c

    The range of possible lengths for the third side is:

    4 < c < 20
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