Respuesta :

Answer: b = 2

Step-by-step explanation:

[tex]b = \frac{2\sqrt{2}}{\sqrt{2} }\\b = 2[/tex]

Since this is a 45°-45°-90° triangle, the side opposite the 90° angle is √2× the other two angles. The other two angles are congruent since their opposite angles are both 45°.

Hope this helped! :p

Step-by-step explanation:

2[tex]\sqrt{2}[/tex] is the hypotenuse

The other 2 sides are equal to b since this is a 45-45-90 triangle meaning that it's isosceles

[tex]2b^{2}[/tex] = ([tex]2\sqrt{2}[/tex][tex])^{2}[/tex]

[tex]2b^{2}[/tex] = ([tex]\sqrt{8})^{2}[/tex]

[tex]2b^{2}[/tex] = 8

[tex]b^{2}[/tex] = 4

b= 2

Hope this helps!!!

Sorry for taking so long