Question

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

Answer 1

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 )