emilyestrada1998
emilyestrada1998 emilyestrada1998
  • 13-09-2018
  • Mathematics
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find the diagonal of 9 inche square?

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Porshia
Porshia Porshia
  • 13-09-2018

First, picture a square that naturally has all sides equal to each other. If you draw a diagonal across, you realize a square is just 2 right triangles put together. Because all sides are equal, we can assume that these are special triangles. In particular, a 45, 45, 90 degree triangle. The diagonal is just the hypotenuse.

So for a 45, 45,  degree triangle, the sides are as follows:  x, x , and [tex]x\sqrt{2}[/tex]  .

So the sides would be 9, 9, [tex]9\sqrt{2}[/tex] (this can't be simplified)

Your answer is [tex]9\sqrt{2}[/tex]

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