1.

The slant height of a square pyramid is 12 cm, lateral edge 13 cm. Calculate height

Answer»

Slant height = 12 cm

lateral edge = 13 cm

\(\frac{base\,edge}{2}\) = \(\sqrt{(lateral\,edge)^2-(slant\,height)^2}\)

\(\sqrt{(13)^2-(12)^2}\)

\(\sqrt{169-144}\)

\(\sqrt{25}\)

= 5 cm

base edge = 10 cm

Height = \(\sqrt{(12)^2-(5)^2}\) = \(\sqrt{119}\) cm



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