Find the height $h$ of a pyramid if side $a = 2 cm$ and slant height $s = 11 cm$ .

Answer

$230 cm$

Explanation

To find height $h$ use Pythagorean Theorem:

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

After substituting $a = 2 cm$ and $s = 11 cm$ we have:

h^{2} + \frac{( 2 cm ) ^{2}}{4} = (11 cm)^{2}

h^{2} + \frac{4 cm ^{2}}{4} = (11 cm)^{2}

h^{2} + 1 cm^{2} = (11 cm)^{2}

h^{2} = 121 cm^{2} - 1 cm^{2}

h^{2} = 120 cm^{2}

h = 120 cm^{2}

h = 230 cm

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Find the height h of a pyramid if side a=2cm and slant height s=11cm.

230​cm

Find the height $h$ of a pyramid if side $a = 2 cm$ and slant height $s = 11 cm$ .

$230 cm$