what is the length of a diagonal of a cube with side x

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what is the length of a diagonal of a cube with side x

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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If you draw a diagonal, what two shapes do you get in the square?
2 triangles
Right. Are they a particular kind of triangle?

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a right triangle
so how do i sole the problem
slove*
Sorry. So, you have a right triangle, and the two sides that are not the hypotenuse are of length x. Do you have an equation that will let you calculate the length of the hypotenuse?
a suared + b squared + c squared ?
\(a^2 + b^2 = c^2\), right, the Pythagorean theorem. So plug it in and solve for c :)
thank you so its going to be 2^ + ? + C^ kinda lost again
x (root3)
whats the problem going to look ike and the answer please
helllo
Yikes, sorry. So if you plug x in, you get: \[\begin{align} x^2 + x^2 &= c^2\\ 2x^2 &= c^2 \end{align}\] We can then take the square root of both sides: \[\begin{align} 2x^2 &= c^2\\ \sqrt{2x^2} &= c\\ x\sqrt{2} = c \end{align}\] And that's it!
thank you
No problem. Click `good answer' next to my answer :)

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