Find the slant height $s$ of a pyramid if side $a = 72 cm$ and height $h = 20 cm$ .

Answer

$4106 cm$

Explanation

To find slant height $s$ use Pythagorean Theorem:

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

After substituting $h = 20 cm$ and $a = 72 cm$ we have:

(20 cm)^{2} + \frac{( 72 cm ) ^{2}}{4} = s^{2}

400 cm^{2} + \frac{5184 cm ^{2}}{4} = s^{2}

400 cm^{2} + 1296 cm^{2} = s^{2}

s^{2} = 1696 cm^{2}

s = 1696 cm^{2}

s = 4106 cm

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Find the slant height s of a pyramid if side a=72cm and height h=20cm.

4106​cm

Find the slant height $s$ of a pyramid if side $a = 72 cm$ and height $h = 20 cm$ .

$4106 cm$