julcheryy123432 julcheryy123432
  • 05-08-2021
  • Mathematics
contestada

Find the length of side

x in simplest radical form with a rational denominator.



Thanks in advance

Find the length of side x in simplest radical form with a rational denominatorThanks in advance class=

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 05-08-2021

Answer:

2

Step-by-step explanation:

Pythagoras. c² = a² + b²

since both "side angles" are equal (45 degrees), we know it is an isosceles triangle, that means also the other side = x.

and so,

8 = x² + x² = 2x²

4 = x²

x = 2

Answer Link
loconte loconte
  • 05-08-2021

Answer:

x = 2

Step-by-step explanation:

sin(45)/x = sin(90)/[tex]\sqrt{8}[/tex]

[tex]\sin \left(45^{\circ \:}\right)=\frac{\sqrt{2}}{2}[/tex]

x = [tex]\sqrt{8}[/tex] [tex]\sin \left(45^{\circ \:}\right)[/tex]

[tex]x = \sqrt{8} \frac{\sqrt{2}}{2}[/tex]

x = [tex]\frac{\sqrt{16} }{2}[/tex]

x = 4/2

x = 2

Answer Link

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