Hypotenuse

Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its content area is 16 square centimeters.

Correct result:

c =  8.9443 cm

Solution:

$$\begin{gathered} a=4 \\ S=16 \\ S=ab\mathrm{/}2 \\ b=2\cdot S\mathrm{/}a=2\cdot 16\mathrm{/}4=8 \\ c=\sqrt{a^2+b^2}=\sqrt{4^2+8^2}=4\sqrt{5}=8.9443\text{ cm} \end{gathered}$$

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