michellekout03
Answered

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Use Heron's formula to find the area of the triangle. Round to the nearest square foot.
Side a = 4 feet
Side b=4 feet
Side c=1 feet

Sagot :

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 )

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