Find the exact length of the third side.
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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]