Question

How do you use Heron's formula to find the area of a triangle with sides of lengths `3`, `6`, and `7`?

Answer 1

`4sqrt5sq.units`

Explanation:

Use Heron's formula:-
`sqrt(s(s-a)(s-b)(s-c)` Where `S=(a+b+c)/2`

So `a=3,b=6,c=7,S=8=(3+6+7)/2`

`rarrsqrt[8(8-3)(8-6)(8-7)]`

`rarrsqrt[8(5)(2)(1)]`

`rarrsqrt[8(10)]`

`rarrsqrt80`

`sqrt80=4sqrt5`