Verified answer

Answer:

[tex]6\sqrt{5}[/tex]

Step-by-step explanation:

semi perimeter (s)= [tex]\frac{3 + 4+ 5}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6

formula = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

= [tex]\sqrt{6(6-3)(6-4)(6-5)}[/tex]

= [tex]\sqrt{6*3*2*5}[/tex]

= [tex]\sqrt{3*2*3*2*5}[/tex]

= [tex]3*2\sqrt{5}[/tex]

= [tex]6\sqrt{5}[/tex]