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VMariaS [17]
2 years ago
11

Use Heron's formula to find the area of the triangle. Round to the nearest square foot.

Mathematics
1 answer:
Sphinxa [80]2 years ago
8 0

Answer:

A ≈ 2 ft²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = \sqrt{s(s-a)(s-b)(s-c)}

where s is the semiperimeter and a, b , c the sides of the triangle.

s = \frac{a+b+c}{2} = \frac{4+4+1}{2} = \frac{9}{2} = 4.5

Then

A = \sqrt{4.5(4.5-4)(4.5-4)(4.5-1)}

   = \sqrt{4.5(0.5)(0.5)(3.5)}

   = \sqrt{3.9375}

   ≈ 1.9843...

   = 2 ft² ( to the nearest square foot )

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