Question

What is the length of the diagonal of a square whose sides measure 8 cm.

Answer 1

We take 8 and multiply it by sqrt(2) , so diagonal is 11.3

Answer 2

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 = √(2) (d)/(2)}}`

Where :

• ➺ a = side of square
• ➺ d = diagonal of square

Solution :

Substituting the given value in the required formula :

`{\dashrightarrow{\pmb{\sf{ \: a = √(2) (d)/(2)}}}}`

`{\dashrightarrow{\sf{ \: a = √(2) * (8)/(2)}}}`

`{\dashrightarrow{\sf{ \: a = √(2) * \cancel{(8)/(2)}}}}`

`{\dashrightarrow{\sf{ \: a = √(2) * 4}}}`

`{\dashrightarrow{\sf{ \: a = 4√(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}}`