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22 July, 14:24

A triangle has two sides with lengths 31 centimeters and 39 centimeters. Which best describes the length of the third side? A. less than 8 cm B. greater than 70 cm C. less than 8 cm or greater than 70 cm D. greater than 8 cm and less than 70 cm

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  1. 22 July, 14:35
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    D. greater than 8 cm and less than 70 cm

    Step-by-step explanation:

    Given:

    Length of one side = 39 cm

    Length of other side = 31 cm

    We need to find the length of third side.

    Solution:

    to find the length of third side we will use triangle Inequality property which states that;

    "The length of the third side should be less than sum of the other two side."

    Also;

    "The length of the third side should be greater than difference of the other two sides."

    Now Sum of 2 sides of triangle = 39 + 31 = 70 cm

    Also Difference of 2 side of triangle = 39 - 31 = 8 cm

    Hence The length of the third side should be greater than 8 cm and less than 70 cm.
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