Body diagonal

Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base,

Correct answer:

u₁ =  8.0131 cm
h =  4.0976 cm

Step-by-step explanation:

$$\begin{gathered} a=7\text{ cm } \\ b=3.9\text{ cm } \\ u=9\text{ cm } \\ {u}_1=\sqrt{a^2+b^2}=\sqrt{7^2+3.9^2}=8.0131\text{ cm} \end{gathered}$$

$h=\sqrt{u^2-u_1^2}=\sqrt{9^2-8.0131^2}=4.0976\text{ cm}$

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