Find the slant height $s$ of a pyramid if side $a = 40 cm$ and height $h = 24.7 cm$ .

Answer

$31.7819 cm$

Explanation

To find slant height $s$ use Pythagorean Theorem:

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

After substituting $h = 24.7 cm$ and $a = 40 cm$ we have:

(24.7 cm)^{2} + \frac{( 40 cm ) ^{2}}{4} = s^{2}

610.09 cm^{2} + \frac{1600 cm ^{2}}{4} = s^{2}

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

s^{2} = 1010.09 cm^{2}

s = 1010.09 cm^{2}

s = 31.7819 cm

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Find the slant height s of a pyramid if side a=40cm and height h=24.7cm.

31.7819cm

Find the slant height $s$ of a pyramid if side $a = 40 cm$ and height $h = 24.7 cm$ .

$31.7819 cm$