Triangle

The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m.
Calculate area of ​this triangle.

Correct answer:

S =  14.5616 m²

Step-by-step explanation:

$$\begin{gathered} a=5.5 \\ b=5.3 \\ c=7.8 \\ s=(a+b+c)\mathrm{/}2=(5.5+5.3+7.8)\mathrm{/}2={\displaystyle \frac{93}{10}}=9.3 \\ S=\sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}=\sqrt{9.3\cdot (9.3-5.5)\cdot (9.3-5.3)\cdot (9.3-7.8)}=14.5616{\text{m}}^2 \end{gathered}$$

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