what is the value of b?

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