if the area of square is 392 sq.cm, then it’s diagnol is​

Question

if the area of square is 392 sq.cm, then it’s diagnol is​

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Ayla 1 month 2021-08-18T04:48:26+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-18T04:49:32+00:00

    Answer:

    28 cm

    Step-by-step explanation:

    Area given=392 sq cm

    Area of square = side × side

    side×side=392

    side=

    14 \sqrt{2}

    Now we got the length of the side.

    square makes 90 degree angles

    Therefore, By using Pythagoras Theorem,

    Length of the diagonal will be 28 cm

    0
    2021-08-18T04:49:36+00:00

    Let a be the side of a square

    . Then area = a^2 = 392.

    When the side = a, the diagonal = a rt2. Therefore, diagonal squared = 2a^2 = 2(392) since a^2 = 392.

    • So, diagonal squared 2(392) = 2(2)(14)(14).

    ✍Hence, diagonal = 2(14)=28.

    ⟹ 28 is the answer

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