Distance of lines

Find the distance of lines AE, CG in cuboid ABCDEFGH, if given | AB | = 3cm, | AD | = 2 cm, | AE | = 4cm

Correct answer:

x =  4.4721 cm

Step-by-step explanation:

$$\begin{gathered} a=3\text{ cm } \\ b=2\text{ cm } \\ c=4\text{ cm } \\ {u}_1=\sqrt{b^2+c^2}=\sqrt{2^2+4^2}=2\sqrt{5}\text{ cm}\doteq 4.4721\text{ cm } \\ {u}_2=\sqrt{a^2+u_1^2}=\sqrt{3^2+4.4721^2}=\sqrt{29}\text{ cm}\doteq 5.3852\text{ cm } \\ x=u_1=4.4721=2\sqrt{5}=4.4721\text{ cm} \end{gathered}$$

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