yanezjoanna yanezjoanna
  • 03-03-2020
  • Mathematics
contestada

In a 45-45-90 triangle, the ratio of the length of the hypotenuse to the length of a side is

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danielmaduroh
danielmaduroh danielmaduroh
  • 11-03-2020

Explanation:

See the figure below for a better understanding of the problem. Since we have a 45-45-90 triangle, this is an isosceles triangle, so both the adjacent and opposite sides measure the same value, say, x. Then the hypotenuse would be:

[tex]H=\sqrt{x^2+x^2} \\ \\ H=2\sqrt{2}[/tex]

Then. the ratio of the length of the hypotenuse to the length of a side is:

[tex]\boxed{r=\frac{2\sqrt{x}}{x}}[/tex]

Ver imagen danielmaduroh
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