Respuesta :

Answer:

b=6.708

Step-by-step explanation:

Use the pythagorean theorem to solve. [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]6^{2} +b^{2} =9^{2}[/tex]

[tex]36+b^{2} =81[/tex]

[tex]b^2=45[/tex]

[tex]\sqrt{b^{2} } =\sqrt{45}[/tex]

[tex]b=3\sqrt{5}[/tex]

[tex]b=6.708[/tex]