Question

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

Answer 1

A ≈ 2 ft²

Explanation:

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

A =
`√(s(s-a)(s-b)(s-c))`

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

s =
`(a+b+c)/(2)` =
`(4+4+1)/(2)` =
`(9)/(2)` = 4.5

Then

A =
`√(4.5(4.5-4)(4.5-4)(4.5-1))`

=
`√(4.5(0.5)(0.5)(3.5))`

=
`√(3.9375)`

≈ 1.9843...

= 2 ft² ( to the nearest square foot )