Question

How do you use Heron's formula to determine the area of a triangle with sides of that are 4, 6, and 8 units in length?

Answer 1

`P = 3sqrt15`

Explanation:

`s = (a+b+c)/2`

`s = (4+6+8)/2 = 9`

`P = sqrt(s(s-a) (s-b)(s-c))`

`P = sqrt(9*(9-4)(9-6)(9-8)) = sqrt( 9*5*3 ) = 3sqrt15`