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

Im Working On A Practice Quiz Im Confused About This Question class=

Sagot :

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

[tex]s=\frac{a+b+c}{2}[/tex]

and then we replace the sides of the triangle:

[tex]s=\frac{12+11+7}{2}=\frac{30}{2}=15[/tex]

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

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

and replace the data so:

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

and we simplify it so:

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

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