Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
Step 1: Use Pythagorean Theorem to find the length of the hypotenuse
[tex]a^{2}+b^{2} =c^{2}[/tex]
[tex]9^{2}+7^{2} =c^{2}[/tex]
[tex]81+47 =c^{2}[/tex]
[tex]128 =c^{2}[/tex]
[tex]\sqrt{c^{2} } =\sqrt{128}[/tex]
[tex]c=\sqrt{128}[/tex][tex]\sqrt{128} =8\sqrt{2}[/tex]
Therefore the third side is [tex]8\sqrt{2}[/tex]
