All edges of a square pyramid are of equal lengths. If the length of the base edge is $20 c m$ , what is the slant height?

$10 \sqrt{3}$

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$100 \sqrt{3}$

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300

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150

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Solution

The correct option is A
$10 \sqrt{3}$

Note that Base edge = Lateral side = $20 c m$

Slant height = $\sqrt{(L a t e r a l e d g e)^{2} - (H a l f t h e b a s e e d g e)^{2}}$

Slant height = $\sqrt{(20)^{2} - (10)^{2}} = 10 \sqrt{3}$

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