TakariF237531 TakariF237531
  • 27-10-2022
  • Mathematics
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ABCD is a square and AB = 16 cm . What is the length of segment BD? Leave your answer in simplest radical form.

ABCD is a square and AB 16 cm What is the length of segment BD Leave your answer in simplest radical form class=

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DamarionE322801 DamarionE322801
  • 27-10-2022

The figure is a square .This means all the sides are equal in length. And each angle is 90 degrees. BD can be found using pythagora's theorem.

[tex]\begin{gathered} c^2=a^2+b^2 \\ c^2=16^2+16^2 \\ c^2=256+256 \\ c^2=512 \\ c=\sqrt[]{512} \\ c=\sqrt[]{256\times2} \\ c=16\sqrt[]{2} \end{gathered}[/tex]

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