Question

What is the length of the diagonal of the square shown below?OA. 5OB. 25O C. √5OD. 5,2O E. √TOOF. 5-√5

Answer 1

it The length of the diagonal can be gotten using the Pythagorean Theorem, given to be:

`c^2=a^2+b^2`

where c is the hypotenuse/diagonal and a and b are the other two sides/length of the square.

We have that:

`a=b=5`

Therefore, we can solve as follows:

`\begin{gathered} c^2=5^2+5^2 \\ c^2=25+25 \\ c^2=50 \\ c=√(50) \\ c=5√(2) \end{gathered}`

OPTION D is the correct option.