Euklid4

The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle.

Correct answer:

c =  243.39 m
h =  33.67 m

Step-by-step explanation:

$$\begin{gathered} a=241\text{m} \\ b=34\text{m} \\ {c}^2=a^2+b^2 \\ c=\sqrt{a^2+b^2}=\sqrt{241^2+34^2}=\sqrt{59237}=243.39\text{m} \end{gathered}$$

$$\begin{gathered} S=\frac{ab}{2}=\frac{c\cdot h}{2} \\ a\cdot b=c\cdot h \\ h=\frac{a\cdot b}{c}=\frac{241\cdot 34}{243.3865}=33.67\text{m} \end{gathered}$$

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