Question

Choose all the correct answers using the diagram below.

What is the length of the diagonal?
2
√2
1
√3
No answer text provided.

Answer 1

We want to find the diagonal length of the square given in the question.

• 
  `x=?`

Since this shape is a square, all four sides are of equal length. Therefore, each side of the square must be
`1` unit.

Next, we will use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle. This value is also equal to the length of our diagonal. We can find the length of the diagonal using the formula below;

• 
  `a^2+b^2=c^2`

Therefore, the correct answer to our question is the following equality;

• 
  `x^2=1^2+1^2`
• 
  `x^2=2`
• 
  `√(x^2) =√(2)`
• 
  `x=√(2)`

Second option should be the answer.