the side of a square is 8√2 what will be its diagonal Answer ASAP​

Question

the side of a square is 8√2 what will be its diagonal

Answer ASAP​

in progress 0
Đan Thu 4 years 2021-08-27T23:36:16+00:00 1 Answers 13 views 0

Answers ( )

  1. diemthu
    0
    2021-08-27T23:37:43+00:00
    Reply

    Answer:

    16

    Step-by-step explanation:

    You can use the pythagorean theorem:

    a^{2}+b^{2}=c^{2}, here seeing as we know already know two sides here as all sides are congruent with squares and there has to be right angles for it to be a square we can do so by cutting the square in half for the diagonal and to get a right triangle.  

    And from there we just use it:

    8\sqrt{2}^{2} + 8\sqrt{2}^{2} = c^{2}

    \sqrt{128}^{2} + \sqrt{128}^{2} = c^{2}

    128 + 128 = c^2

    256 = c^2

    \sqrt{c}^2 = \sqrt{256}

    c = 16

    Meaning that the diagonal is 16.  

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )