Answer:
Given :
- ↠ The diagonal of a square is 8 cm.
To Find :
- ↠ The length of the side of square.
Using Formula :
Here is the formula to find the side of square if diagonal is given :
\(\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}}\)
Where :
- ➺ a = side of square
- ➺ d = diagonal of square
Solution :
Substituting the given value in the required formula :
\({\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}\)
\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}\)
\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}\)
\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}\)
\({\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}\)
\({\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}\)
Hence, the length of the side of square is 5.6 cm.
\(\underline{\rule{220pt}{3pt}}\)
