Respuesta :

Length of the other leg, expressed in radical form is [tex]4\sqrt{2}[/tex]

Step-by-step explanation:

We have Pythagoras theorem,

      Hypotenuse² = Base² +  Perpendicular²

Here we have

        Hypotenuse = 9

        Base = 7

Substituting

      9² = 7² +  Perpendicular²    

      Perpendicular² = 81 - 49

      Perpendicular² = 32

      [tex]\texttt{Perpendicular = }\sqrt{32}\\\\\texttt{Perpendicular = }\sqrt{16\times 2}\\\\\texttt{Perpendicular = }4\sqrt{2}[/tex]

Length of the other leg, expressed in radical form is [tex]4\sqrt{2}[/tex]        

         

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