1) The diagonal of a square is 16 cm. Find its side.
(A)82 cm (B)16v2 cm (C8y4 cm
(D)164 cm
cm​

1 thought on “1) The diagonal of a square is 16 cm. Find its side.<br />(A)82 cm (B)16v2 cm (C8y4 cm<br />(D)164 cm<br />cm​”

1. Answer:

   Step-by-step explanation:

   all the angles of a square is right angle therefore the diagonal forms the hypotenuse of the 2 sides

   therefore by Pythagoras theorem ,

   [tex]side^{2} +side^{2} = hypotenuse^{2}[/tex]

   therefore let the side of square be x

   [tex]x^{2} +x^{2} =16^{2}[/tex]

   2[tex]x^{2}[/tex] =[tex]16^{2}[/tex]

   [tex]2x^{2} =256[/tex]

   [tex]x^{2} =128[/tex]

   [tex]x=\sqrt 128[/tex]

   [tex]x = 8\sqrt2[/tex]

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