Which of the following are true?

The slant height of square pyramid=

\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}}

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Lateral edge of the square pyramid =

\sqrt{s l a n t h e i g h t o f s q u a r e p y r a m i d)^{2} - (H a l f t h e b a s e e d g e)^{2}}

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The slant height of square pyramid=

\sqrt{(H e i g h t o f t h e p y r a m i d)^{2} + (H a l f t h e b a s e e d g e)^{2}}

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The height of the pyramid =

\sqrt{(T h e s l a n t h e i g h t o f s q u a r e p y r a m i d)^{2} + (H a l f t h e b a s e e d g e)^{2}}

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Solution

The correct options are
A The slant height of square pyramid= $\sqrt{(L a t e r a l e d g e)^{2} - (H a l f t h e b a s e e d g e)^{2}}$
C The slant height of square pyramid= $\sqrt{(H e i g h t o f t h e p y r a m i d)^{2} + (H a l f t h e b a s e e d g e)^{2}}$

Using Pythagoras theorem, we have the slant height of square pyramid= $\sqrt{(L a t e r a l e d g e)^{2} - (H a l f t h e b a s e e d g e)^{2}}$ = $\sqrt{(H e i g h t o f t h e p y r a m i d)^{2} + (H a l f t h e b a s e e d g e)^{2}}$

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