anonymous
  • anonymous
what is the length of a diagonal of a cube with side x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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shadowfiend
  • shadowfiend
If you draw a diagonal, what two shapes do you get in the square?
anonymous
  • anonymous
2 triangles
shadowfiend
  • shadowfiend
Right. Are they a particular kind of triangle?

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anonymous
  • anonymous
a right triangle
anonymous
  • anonymous
so how do i sole the problem
anonymous
  • anonymous
slove*
shadowfiend
  • shadowfiend
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?
anonymous
  • anonymous
a suared + b squared + c squared ?
shadowfiend
  • shadowfiend
\(a^2 + b^2 = c^2\), right, the Pythagorean theorem. So plug it in and solve for c :)
anonymous
  • anonymous
thank you so its going to be 2^ + ? + C^ kinda lost again
anonymous
  • anonymous
x (root3)
anonymous
  • anonymous
whats the problem going to look ike and the answer please
anonymous
  • anonymous
helllo
shadowfiend
  • shadowfiend
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!
anonymous
  • anonymous
thank you
shadowfiend
  • shadowfiend
No problem. Click `good answer' next to my answer :)

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