The length width and height of a rectangular solid are 8,4,1 respectively what is the length of the longest line segment whose endpoints are

Question

The length width and height of a rectangular solid are 8,4,1 respectively what is the length of the longest line segment whose endpoints are two vertices of this solid

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Thu Thảo 3 years 2021-09-02T12:03:56+00:00 1 Answers 24 views 0

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  1. Giakhanh
    0
    2021-09-02T12:05:41+00:00
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    Answer:

    9 units

    Step-by-step explanation:

    Given

    Length = 8

    Width = 4

    Height = 1

    Required

    Determine the length of the longest segment

    To do this, we use:

    Longest = \sqrt{Length^2 + Width^2 + Height^2}

    So, we have:

    Longest = \sqrt{8^2 + 4^2 + 1^2}

    Longest = \sqrt{64 + 16 + 1}

    Longest = \sqrt{81}

    Take positive square root

    Longest = 9

    Hence, the length of the longest segment is 9 units

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