Answer:
[tex]3\sqrt{5}[/tex]
Step-by-step explanation:
Since the triangle has a right angle, we are going to use pythaogoran theoem, which is [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b are the legs and and c is the hypotunese/ slated side. Let set it up.
[tex]3^{2} +6^{2} =c^{2}[/tex]
9+36=c^2
45=c^2
[tex]\sqrt{45}[/tex]=
Then we are going to find a perfect squarre root(1,4,9,16,25....) to simplify the radical
The perfect square root is 9 because 9 goes into 45 5 times.
[tex]\sqrt{9x5}[/tex]
Then take the sqr root of 9 and we have [tex]3\sqrt{5}[/tex]
