Find the slant height $s$ of a pyramid if side $a = 8 cm$ and height $h = 10 cm$ .

Answer

$229 cm$

Explanation

To find slant height $s$ use Pythagorean Theorem:

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

After substituting $h = 10 cm$ and $a = 8 cm$ we have:

(10 cm)^{2} + \frac{( 8 cm ) ^{2}}{4} = s^{2}

100 cm^{2} + \frac{64 cm ^{2}}{4} = s^{2}

100 cm^{2} + 16 cm^{2} = s^{2}

s^{2} = 116 cm^{2}

s = 116 cm^{2}

s = 229 cm

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Find the slant height s of a pyramid if side a=8cm and height h=10cm.

229​cm

Find the slant height $s$ of a pyramid if side $a = 8 cm$ and height $h = 10 cm$ .

$229 cm$