Pick the equation that relates the base radius, height and slant height of a cone from the following.

H e i g h t^{2} + (S l a n t H e i g h t)^{2} = (B a s e r a d i u s)^{2}

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B a s e r a d i u s^{2} + (S l a n t H e i g h t)^{2} = (H e i g h t)^{2}

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H e i g h t^{2} + (B a s e R a d i u s)^{2} = (S l a n t H e i g h t)^{2}

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(S l a n t H e i g h t)^{2} - (B a s e R a d i u s)^{2} = H e i g h t^{2}

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Solution

The correct options are
C $H e i g h t^{2} + (B a s e R a d i u s)^{2} = (S l a n t H e i g h t)^{2}$
D $(S l a n t H e i g h t)^{2} - (B a s e R a d i u s)^{2} = H e i g h t^{2}$
Using Pythagoras theorem, we have $H e i g h t^{2} + (B a s e R a d i u s)^{2} = (S l a n t H e i g h t)^{2}$
$⟹ (S l a n t H e i g h t)^{2} - (B a s e R a d i u s)^{2} = H e i g h t^{2}$

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