Question

How do you use Heron's formula to find the area of a triangle with sides of lengths `3`, `2`, and `4`?

Answer 1

6.16185

Explanation:

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

`=(3+2+4)/2`

`=9/2`

`=4.5`

from heron's law we know,

`A=ssqrt((s-a)(s-b)(s-c))`

`=4.5sqrt((4.5-3)(4.5-2)(4.5-4))`

`=4.5sqrt(1.5xx2.5xx0.5)`

`=4.5sqrt(1.875)`

`=4.5xx1.3693`

`=6.16185`