Answer:
d
Step-by-step explanation:
Given 3 sides of the triangle the area (A) can be calculated using Hero's formula.
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s is the semi perimeter of the triangle
s = [tex]\frac{a+b+c}{2}[/tex] = [tex]\frac{4+6+8}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 , thus
A = [tex]\sqrt{9(9-4)(9-6)(9-8)}[/tex]
= [tex]\sqrt{9(5)(3)(1)}[/tex]
= [tex]\sqrt{135}[/tex]
≈ 11.6 units² → d
