The pyramid

The pyramid with a square base is 50 m high and the height of the sidewall is 80 m. Find the endge of the base of the pyramid.

Correct answer:

a =  124.9 m

Step-by-step explanation:

$$\begin{gathered} h=50\text{ m } \\ s=80\text{ m } \\ {s}^2=h^2+(a\mathrm{/}2{)}^2 \\ a=2\cdot \sqrt{s^2-h^2}=2\cdot \sqrt{80^2-50^2}=20\sqrt{39}=124.9\text{ m} \end{gathered}$$

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