Triangle 5568

The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence it if one of its hinges is 12 meters long?

Correct answer:

x =  48 m

Step-by-step explanation:

$$\begin{gathered} a=12\text{m} \\ S=96{\text{m}}^2 \\ S=\frac{ab}{2} \\ b=2\cdot S/a=2\cdot 96/12=16\text{m} \\ c=\sqrt{a^2+b^2}=\sqrt{12^2+16^2}=20\text{m} \\ x=a+b+c=12+16+20=48\text{m} \end{gathered}$$

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