The triangle

The triangle has sides 5 cm long, 5 cm, 8 cm long.
What is the area of the triangle?

Correct answer:

S =  12 cm²

Step-by-step explanation:

$$\begin{gathered} a=5\text{ cm } \\ c=8\text{ cm } \\ {v}^2+(c\mathrm{/}2{)}^2=a^2=5^2=25 \\ v=\sqrt{a^2-(c\mathrm{/}2{)}^2}=\sqrt{5^2-(8\mathrm{/}2{)}^2}=3\text{ cm } \\ S={\displaystyle \frac{c\cdot v}{2}}={\displaystyle \frac{8\cdot 3}{2}}=12{\text{cm}}^2 \end{gathered}$$

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