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The legs of a right triangle have dimensions 244 m and 246 m. Calculate the length of the hypotenuse and the height of this right triangle.

Correct answer:

c =  346.49 m
h =  173.24 m

Step-by-step explanation:

$$\begin{gathered} c^2=a^2+b^2 \\ {c}^2=244^2+246^2 \\ c=\sqrt{120052}=346.49\text{ m} \end{gathered}$$

$$\begin{gathered} S={\displaystyle \frac{ab}{2}}={\displaystyle \frac{ch}{2}} \\ ab=ch \\ h={\displaystyle \frac{ab}{c}}={\displaystyle \frac{244\cdot 246}{346.485}}=173.24\text{ m} \end{gathered}$$

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