Find the side $a$ of a pyramid if height $h = 10 cm$ and slant height $s = 12 cm$ .

Answer

$411 cm$

Explanation

To find side $a$ use Pythagorean Theorem:

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

After substituting $h = 10 cm$ and $s = 12 cm$ we have:

(10 cm)^{2} + \frac{a ^{2}}{4} = (12 cm)^{2}

\frac{a ^{2}}{4} = (12 cm)^{2} - (10 cm)^{2}

\frac{a ^{2}}{4} = 144 cm^{2} - 100 cm^{2}

a^{2} = 44 cm^{2} \cdot 4

a^{2} = 176 cm^{2}

a = 176 cm^{2}

a = 411 cm

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Find the side a of a pyramid if height h=10cm and slant height s=12cm.

411​cm

Find the side $a$ of a pyramid if height $h = 10 cm$ and slant height $s = 12 cm$ .

$411 cm$