STEP 1: find side $ a $

To find side $ a $ use formula:

After substituting $B = 6\, \text{cm}$ we have:

$$ B = a^2 $$ $$ a^2 = 6\, \text{cm} $$ $$ a = \sqrt{ 6\, \text{cm} } $$

STEP 2: find slant height $ s $

To find slant height $ s $ use Pythagorean Theorem:

$$ s^2 + \frac{ a^2 }{ 4 } = e^2 $$

After substituting $a = \sqrt{ 6 }\, \text{cm}^0$ and $e = 10\, \text{cm}$ we have:

$$ s ^ {\,2} + \frac{ \sqrt{ 6 } }{ 4 } = \left( 10\, \text{cm} \right)^{2} $$ $$ s ^ {\,2} + \frac{ 6 }{ 4 } = \left( 10\, \text{cm} \right)^{2} $$ $$ s ^ {\,2} + \frac{ 3 }{ 2 } = \left( 10\, \text{cm} \right)^{2} $$ $$ s ^ {\,2} = 100\, \text{cm}^2 - \frac{ 3 }{ 2 } $$ $$ s ^ {\,2} = \frac{ 197 }{ 2 }\, \text{cm}^2 $$ $$ s = \sqrt{ \frac{ 197 }{ 2 }\, \text{cm}^2 } $$$$ s = \frac{\sqrt{ 394 }}{ 2 }\, \text{cm} $$

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