Answer:
A ≈ 2 ft²
Step-by-step explanation:
The area (A) of a triangle using Heron's formula is
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s is the semiperimeter and a, b , c the sides of the triangle.
s = [tex]\frac{a+b+c}{2}[/tex] = [tex]\frac{4+4+1}{2}[/tex] = [tex]\frac{9}{2}[/tex] = 4.5
Then
A = [tex]\sqrt{4.5(4.5-4)(4.5-4)(4.5-1)}[/tex]
= [tex]\sqrt{4.5(0.5)(0.5)(3.5)}[/tex]
= [tex]\sqrt{3.9375}[/tex]
≈ 1.9843...
= 2 ft² ( to the nearest square foot )
