Question

Find the length of the side of a square if the length of its diagonal is $10cm$.

Answer 1

Calculate the length of the side of the square

Let the length of the side of the square$ABCD$ be$xcm$.

On applying Pythagoras Theorem,

In $△ABC$

$$\begin{gathered} \Rightarrow x^2+x^2={10}^2 \\ \Rightarrow 2x^2=100 \\ \Rightarrow x^2=50 \\ \Rightarrow x=5\sqrt{2}cm \end{gathered}$$

Hence, the length of the side of the square is$5\sqrt{2}cm$.