Question

How do you use Heron's formula to determine the area of a triangle with sides of that are 6, 4, and 4 units in length?

Answer 1

Area ≈ 7.94

Explanation:

This is a 2 step process

step 1 : calculate ( half of the perimeter (s) ) of the triangle

step 2 : calculate the area (A)

let a = 6 , b = 4 and c = 4

step 1 : s = `(a + b + c )/2 = (6 + 4 + 4 )/2 = 14/2 = 7`

step 2 : A`= sqrt(s(s-a)(s-b)(s-c))`

`= sqrt(7(7-6)(7-4)(7-4))`

`= sqrt(7 xx 1 xx 3 xx 3) = sqrt63 ≈ 7.94`