Question

I'm working on a practice quiz I'm confused about this question

Answer 1

In this problem we have to use the Hero formula so first we have to find s:

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

and then we replace the sides of the triangle:

`s=(12+11+7)/(2)=(30)/(2)=15`

and with s we can use the formula of A so:

`A=\sqrt[]{s(s-a)(s-b)(s-c)}`

and replace the data so:

`A=\sqrt[]{15(15-12)(15-11)(15-7)}`

and we simplify it so:

`\begin{gathered} A=\sqrt[]{15(3)(4)(8)} \\ A=\sqrt[]{1440} \\ A\approx37.95 \end{gathered}`