Question

How do you use Heron's formula to determine the area of a triangle with sides of that are 12, 7, and 10 units in length?

Answer 1

`A=(sqrt(210))/2 sq.cm`

Explanation:

Heron's formula

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

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

In your question
triangle with side lengths of 12,7,10

`s=(12+7+10)/2`
`s=19/2`

`A=sqrt(19/2(19/2-7)(19/2-12)(19/2-10))`
`A=sqrt(12/2(14/2)(-5/2)(-1/2))`
`A=sqrt(840/16)`
`A= (2sqrt(210))/4`
`A=(sqrt(210))/2 sq.cm`