Question

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

Answer 1

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.

`\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*2} \\ c=16\sqrt[]{2} \end{gathered}`