Answer:
The third side is [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
Use Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
Step 1: Plug in 3 for a and 3 for b
[tex](3)^2+(3)^2 = c^2[/tex]
[tex]9+9=c^2[/tex]
[tex]18 = c^2[/tex]
Step 2: Square root both sides
[tex]\sqrt{18} = \sqrt{c^2}[/tex]
[tex]\sqrt{3^2*2} = c[/tex]
[tex]3\sqrt{2}=c[/tex]
Answer: The third side is [tex]3\sqrt{2}[/tex]
