Find the height $h$ of a pyramid if side $a = 230 cm$ and slant height $s = 186 cm$ .

Answer

$21371 cm$

Explanation

To find height $h$ use Pythagorean Theorem:

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

After substituting $a = 230 cm$ and $s = 186 cm$ we have:

h^{2} + \frac{( 230 cm ) ^{2}}{4} = (186 cm)^{2}

h^{2} + \frac{52900 cm ^{2}}{4} = (186 cm)^{2}

h^{2} + 13225 cm^{2} = (186 cm)^{2}

h^{2} = 34596 cm^{2} - 13225 cm^{2}

h^{2} = 21371 cm^{2}

h = 21371 cm^{2}

h = 21371 cm

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Find the height h of a pyramid if side a=230cm and slant height s=186cm.

21371​cm

Find the height $h$ of a pyramid if side $a = 230 cm$ and slant height $s = 186 cm$ .

$21371 cm$