Question

Can someone help me I'm lost

Answer 1

let's recall that a square has four equal sides, Check the picture below.

Answer 2

Answer:
`√(6)`

This is the same as typing in sqrt(6)

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Step-by-step explanation:

The square has all four sides the same length, which in this case is
`√(3)` units.

The diagonal of the square splits it into two identical right triangles.

Use the Pythagorean Theorem to find the hypotenuse x, aka the diagonal.

`a^2 + b^2 = c^2\\\\c = √(a^2 + b^2)\\\\x = \sqrt{\left(√(3)\right)^2+\left(√(3)\right)^2}\\\\x = √(3+3)\\\\x = √(6)\\\\`

Or you can take the shortcut

`\text{hypotenuse} = (\text{leg})*√(2)\\\\x = √(3)*√(2)\\\\x = √(3*2)\\\\x = √(6)\\\\`

Which applies to 45-45-90 right triangles.