STEP 1: find side $ a $

To find side $ a $ use formula:

After substituting $B = 25\, \text{cm}$ we have:

$$ B = a^2 $$ $$ a^2 = 25\, \text{cm} $$ $$ a = \sqrt{ 25\, \text{cm} } $$ $$ a = 5 $$

STEP 2: find slant height $ s $

To find slant height $ s $ use Pythagorean Theorem:

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

After substituting $h = 10\, \text{cm}$ and $a = 5\, \text{cm}^0$ we have:

$$ \left( 10\, \text{cm} \right)^{2} + \frac{ 5 }{ 4 }= s^2 $$ $$ 100\, \text{cm}^2 + \frac{ 25 }{ 4 }= s^2 $$ $$ 100\, \text{cm}^2 + \frac{ 25 }{ 4 } = s^2 $$ $$ s^2 = \frac{ 425 }{ 4 }\, \text{cm}^2 $$ $$ s = \sqrt{ \frac{ 425 }{ 4 }\, \text{cm}^2 } $$$$ s = \frac{ 5 \sqrt{ 17}}{ 2 }\, \text{cm} $$

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